Determine if the lines are parallel perpendicular or neither

Question: Determine whether the lines are parallel, perpendicular or neither. 4-5x=4y -4x+5y=15. Determine whether the lines are parallel, perpendicular or neither. 4-5x=4y -4x+5y=15. There are 2 steps to solve this one. Expert-verified.

Given the following equations, determine if the lines are parallel perpendicular or neither (5y+5x)/ (3)=x+1 and 3x-2y=8x+6. There are 2 steps to solve this one. Expert-verified. Share Share.Determine whether the two lines are parallel, perpendicular, or neither. 2x3y=5;3x+2y=7 Find the x-intercept and y-intercept on the line shown. . Find an equation of a line perpendicular to the line y=12x3 that contains the point (6,4) .Parallel provides the same types of services a school district or parent has used in the past, just in a telehealth setting. If a kid is having trouble at school, one of the standa...Determine whether the lines for each pair of equations are parallel, perpendicular, or neither. y = frac(3)(4)x+2 3x-4y=-8 A. parallel B. perpendicular C. neither Determine whether the following pair of lines are parallel, perpendicular, both, or neither. line 1: y - 3x = 7 line 2: 3x - 6 = y a.This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: Determine whether the two lines are parallel, perpendicular, or neither parallel nor perpendicular. 3x - 8y = 17 32x + 12y = 11 O A. Parallel O B. Perpendicular C. Neither. Show transcribed image text.Determine whether the lines for each pair of equations are parallel, perpendicular, or neither. y = frac(3)(4)x+2 3x-4y=-8 A. parallel B. perpendicular C. neither Determine whether the following pair of lines are parallel, perpendicular, both, or neither. line 1: y - 3x = 7 line 2: 3x - 6 = y a.

This video covers one example on how to determine if linear equations are parallel, perpendicular, or neither when given 2 sets of ordered pairs. Please excu...Consider their corresponding graphs: Figure 4.6.1 4.6. 1. Both lines have a slope m = 3 4 m = 3 4 and thus are parallel. Perpendicular lines are lines in the same plane that intersect at right angles ( 90 90 degrees). Two nonvertical lines in the same plane, with slopes m1 m 1 and m2 m 2, are perpendicular if the product of their slopes is −1 ...In conclusion, the given lines with equations 4x - 7y - 10 = 0 and -7x + 4y + 1 = 0 are neither parallel nor perpendicular. To determine whether the given lines are parallel, perpendicular, or neither, we need to examine their slopes. The equation of a line in standard form is Ax + By = C, where A, B, and C are constants.Question: Determine if the given equations are parallel, perpendicular, or neither. Line 1: x+y=-5 Line 2: x-y=-8 ... Determine if the given equations are parallel, perpendicular, or neither. Line 1: x+y=-5 Line 2: x-y=-8. There are 2 steps to solve this one. Who are the experts? Experts have been vetted by Chegg as specialists in this subject ...Click here 👆 to get an answer to your question ️ Determine if the lines are parallel, perpendicular, or neither x-3y= 15 and y = -3+4 See what teachers have to say about Brainly's new learning tools! ... Linear Equations Slope-Intercept & Standard Form Directions: Determine if the equations are parallel, perpendicular, or neither. 11 ...Given line segment AB and CD, in each part we have to find the slope in order to find the nature i.e these are parallel, perpendicular, or neither. we know Two lines are parallel if they have same slope, perpendicular if their slopes are negative reciprocals. 1. Line AB formed by A(-1,3) and B(1,5); Line CD formed by C(2,3) and D(-2,7) Slope of ...Question: If one line passes through the points (−2,−6) and (1,3) and another line passes through the points (1,2) and (−2,3) determine if the two lines are parallel, perpendicular, or nelther. I Neither Parallel Perpendicular Not enough information. There are 4 …

Determining the right price for a product or service is one of the most important elements in a business's formula for success. Determining the right price for a product or service...Question: = + = Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-4 + 3t)i + (3 + t)j L2: r(s) = (1 + 2s)i + (3 - 6s); O perpendicular neither O parallel If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)If they are neither parallel nor perpendicular, find the angle of intersection. x - 5y - z = 1 5x - 25y -5z = -3; Determine whether the planes are parallel, perpendicular, or neither. If they are neither parallel nor perpendicular, find the angle of intersection. 3x + y - 4z = 3 -9x - 3y + 12z = 4Parametric Equations: Any curve or line on the plane can be given either in explicit form as an equation relating y- and x-coordinates or as a parametric relationship, where both x and y are given as functions of some parameter t.The two lines are perpendicular if the two vectors along or perpendicular to those lines are perpendicular to each other.

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Hand over this set of worksheets on Parallel and Perpendicular Lines to your students for teaching them to identify, draw and determine parallel and perpendicular lines. In addition to this, the set also contains practice worksheets on determining whether two lines are parallel or perpendicular, using points, slopes and equations.Parallel and perpendicular lines. If two non-vertical lines that are in the same plane has the same slope, then they are said to be parallel. Two parallel lines won't ever intersect. If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to ...This online determine whether the lines are parallel perpendicular or neither calculator is the best choice for everyone. Reference: From the source of Wikipedia: Foot of a perpendicular, Construction of the perpendicular, In relationship to parallel lines, Graph of functions .The two slopes are equal , the two lines are parallel. Also the two lines are horizontal e. m1 = ( 7 - 5 ) / ( -2 - (-2) ) m2 = ( 13 - 1 ) / ( 5 - 5 ) The two slopes are both undefined since the denominators in both m1 and m2 are equal to zero. The two lines are vertical lines and therefore parallel. Solution to Q6: No.4,072 solutions. 1 / 4. Find step-by-step Geometry solutions and your answer to the following textbook question: Determine whether the lines are parallel, perpendicular, or neither. y = 2x + 4, y = 2x - 10.

For perpendicular lines, the slopes must be opposite reciprocals (different signs and fraction inverted). So -3 and 1/3 or 2/3 and -3/2 are pairs of perpendicular slopes. A perpendicular line has a slope of the negative inverse of the original equations slope. If y=2x+1 is the first equation, it has a slope of 2.The slope of the parallel lines are the same and the Slopes of perpendicular lines are negative reciprocals of each other. Parallel lines; The parallel lines have the same slope. y = 2x + 3. Now we will Compare with the slope y-intercept form of the line that is; y = MX +b. Where m is the slope and b is the y-intercept. The slope of this line ...Consider their corresponding graphs: Figure 4.6.1 4.6. 1. Both lines have a slope m = 3 4 m = 3 4 and thus are parallel. Perpendicular lines are lines in the same plane that intersect at right angles ( 90 90 degrees). Two nonvertical lines in the same plane, with slopes m1 m 1 and m2 m 2, are perpendicular if the product of their slopes is −1 ...Question: The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither.y=3x-9y=-3x+7Are the lines parallel, perpendicular, or neither?PerpendicularParallelNeither. The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. y = 3 x - 9. y = - 3 x + 7.Transcript. Parallel lines are lines that never intersect, and they form the same angle when they cross another line. Perpendicular lines intersect at a 90-degree angle, forming a square corner. We can identify these lines using angles and symbols in diagrams. Created by Sal Khan and Monterey Institute for Technology and Education.Determine if the lines defined by the given equations are parallel, perpendicular, or neither. −5x−4y=621x+32y=8 Select one: a. parallel b. perpendicular c. neither This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.A Digital Subscriber Line (DSL) service is a method of establishing mainline Internet connectivity. This service makes use of phone lines to provide data access for both residentia...Question: Use the graph below to determine if the two lines are parallel, perpendicular, or neither. Show transcribed image text. This question hasn't been solved yet! ... Use the graph below to determine if the two lines are parallel, perpendicular, or neither. Not the question you're looking for? Post any question and get expert help quickly.Parallel & perpendicular lines from equation. Google Classroom. What do the following two equations represent? y = 4 3 x + 5 3. y − 8 = 4 3 ( x + 6)Question: Given the following equations, determine if the lines are parallel, perpendicular, or neither. 6x-4 (x+3)=3y-x and -6x=1-6y. There's just one step to solve this.These two lines are in point slope form, so their slopes are 6 and -1/3 respectively. Since these are not the same, nor negative reciprocals, they are neither parallel nor perpendicular.When it comes to owning a piece of property, one of the most important aspects is knowing and understanding your property boundary lines. These lines define the limits of your land...

Parallel & perpendicular lines from graph. Are the lines in the figure parallel, perpendicular, or neither? Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: Determine whether the two lines are parallel, perpendicular, or neither parallel nor perpendicular. 12x + 4y = 16 15x + 5y = 22 O A. Parallel B. Perpendicular C. Neither. Show transcribed image text.A. The lines with equation 3x - 4y = 6 and 3y = -4x + 9 are perpendicular. B. The lines with equation y = 1⁄2x - 7 and 6x - 12y = 24 are parallel. How do I determine if the lines are parallel or perpendicular? From the equation of lines, we can detect if they are parallel or perpendicular as follow: Parallel lines have the same slope (or ...So we can say this: When a line is perpendicular to two lines on the plane (where they intersect), it is perpendicular to the plane. It will also be perpendicular to all lines on the plane that intersect there. And there is a lot more we can say: Through a given point there passes: one and only one line perpendicular to a plane.1st Edition • ISBN: 9781642087611 Ron Larson. 4,072 solutions. 1 / 4. Find step-by-step Geometry solutions and your answer to the following textbook question: Determine whether AB and CD are parallel, perpendicular, or neither. Graph each line to verify your answer. A (-6, -9), B (8, 19), C (O, -4), D (2, 0).Question: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. L1: r (t) = (-2 + 2t)i + (1 + t)j L2: r (s) = (3 + 3s)i + (1 - 6s) O parallel O perpendicular O neither If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.) Show ...Question: Determine if the following lines are parallel, perpendicular, or neither. y = + 2 Y= +3 Select the correct answer below: Parallel Perpendicular Neither parallel nor perpendicular O FEEDBACK MORE INSTRUCTION SUBMIT. Determine if the following lines are parallel, perpendicular, or neither. There are 3 steps to solve this one.Colonial Van Lines is one of the most trusted long-distance movers in the business today. Read on to learn more about this mover's service offerings and prices. Expert Advice On Im...

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The slope of the first line is given as, m = -5/4. From equation 1, then we have. 5x - 4y = -3. 4y = 5x + 3. y = (5/4)x + 3/4. The slope of the second line is given as, m = 5/4. The slope of the equation of the lines is different. Then the lines are neither parallel nor perpendicular. More about the linear equation link is given below.Question: 6. Determine whether the pair of lines is parallel, perpendicular, or neither. line YZ (4,4) (-2,1) y=-x + 1 Parallel Perpendicular Neither 7. Determine whether the pair of lines is parallel, perpendicular, or neither.* 3 y=- X - 12 y = 5/3 x + 3 Parallel Perpendicular Neither 1 8. Determine whether the pair of lines is parallel ...While you can have two equity lines of credit, you have to have good loan-to-value ratios and not exceed 100 percent. Home equity lines of credit are secured loans on a home that c...Webapp Flight Wait takes the guesswork out of flight tracking by providing you with a map of FAA flight delays in real time. Simply input the city or airport code and let Flight Wa... Free practice questions for Precalculus - Determine if Two Vectors Are Parallel or Perpendicular. Includes full solutions and score reporting. Determine if Two Vectors Are Parallel or Perpendicular - Precalculus In this lesson we'll learn about the qualities that make up parallel and perpendicular lines and how to identify them on a graph or in an equation. Remember, opposites are numbers with different signs, as a variable they can be expressed as m and -m (although this doesn't mean that m is the positive number and -m is the negative number).Determine if the Lines are Parallel, Perpendicular or Neither Given the EquationsIf you enjoyed this video please consider liking, sharing, and subscribing.U... For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular: 11. 12. - 2x + y = 3 - 4x - 3y = 8 3x + {y=5 13. Find the x- and y-intercepts of the equation 2x + 7y = -14 14. Given below are descriptions of two lines. Find the slopes of Line 1 and Line 2. Question: Determine if the two lines with equations 3y+9x=-12 and 2y=6x+14 are parallel, perpendicular, or neither. Determine if the two lines with equations 3y+9x=-12 and 2y=6x+14 are parallel, perpendicular, or neither. There's just one step to solve this. Expert-verified.1. Multiple Choice. Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1). 2. Multiple Choice. Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3). 3. Multiple Choice. Select the two lines that are parallel.Question: correct Given the following equations, determine if the lines are parallel, perpendicular, or neither. 7x - 4y 3 = x + 2 and -8y - 5x = 3x + 1 Answer Keypad Keyboard Shortcuts Parallel Perpendicular Neither Submit Answer ... correct Given the following equations, determine if the lines are parallel, perpendicular, or neither. 7x - 4y ... ….

Click here 👆 to get an answer to your question ️ Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x - 4y =28 See what teachers have to say about Brainly's new learning tools! ... or neither. J(1,9), K(7,4), L(8,13), M(-2,1) A. Parallel B. Perpendicular C. Neither Determine if the lines are parallel ...Question: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. L1: r (t) - (-4 + 4t)i + (1 + t)] L2: r (s) = (4 + 2) + (4 - 8s)] perpendicular O parallel O neither If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.) ( ) Show ...Provide the coordinates of the specific point through which the new line (parallel or perpendicular) should pass. Select your desired line orientation: whether you want a line that's parallel or one that's perpendicular to the given line. Once you've input all the necessary information, click the "Calculate" button.Question: Determine if the lines are parallel, perpendicular, or neither. x-3y=15 and y=3x+4 a. Parallel b. Perpendicular c. Neither parallel nor perpendicularGiven the following equations, determine if the lines are parallel, perpendicular, or neither. 6x-4(x+3)=3y-x and -6x=1-6y This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.The lines are neither parallel nor perpendicular.Hence, the answer is neither.. Given lines are, -2x + 5y = 15 and 5x + 2y = 12We need to determine whether the given lines are parallel, perpendicular, or neither.To check if the given lines are parallel or perpendicular, we'll find the slope of each line.The slope of the first line is given by:-2x+5y=15 Rearranging, we get: 5y=2x+15 Dividing by ...The equations of three lines are given below. Line 1: y=-3x-1 Line 2: 6x+2y=8 Line 3: y=3x+8 For each pair of lines, determine whether they are parallel, perpendicular, or neither Line 1 and Line 2: O Parallel O Perpendicular Neither X Line 1 and Line 3: O Parallel O Perpendicular Neither Line 2 and Line 3: O Parallel O Perpendicular Neither Select your desired line orientation: whether you want a line that's parallel or one that's perpendicular to the given line. Once you've input all the necessary information, click the "Calculate" button. The calculator will instantly display the required parallel or perpendicular line equation based on your inputs. Parallel & perpendicular lines from equation. Google Classroom. What do the following two equations represent? y = 4 3 x + 5 3. y − 8 = 4 3 ( x + 6)These Parallel and Perpendicular Lines Worksheets will give the student a pair of equations for lines and ask them to determine if the lines are parallel, perpendicular, or intersecting. These worksheets will produce 6 problems per page. These Lines Worksheets allow you to select different variables to customize for your needs. Determine if the lines are parallel perpendicular or neither, Parallel force systems are those in which forces act in the same direction. The opposite of a parallel force system is a perpendicular force system, which is a system that has forc..., How are mortgage rates determined? Find out how mortgage rates are determined at HowStuffWorks. Advertisement What's life without a little risk? That may sound cliché, but in today..., Determine if the two lines with equations 3y +12x = -9 and 2 y = 8x +10 are paralel, perpendicular, or neither Parallel Neither 5 © Perpendicular Not enough information, Determine whether the lines are parallel or perpendicular or neither. One line passes through the points (2, 11) and (-1, 2); another line passes through the points (0, -4) and (-2, -10). Find the slope of each …, Click here 👆 to get an answer to your question ️ Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x - 4y =28 See what teachers have to say about Brainly's new learning tools! ... or neither. J(1,9), K(7,4), L(8,13), M(-2,1) A. Parallel B. Perpendicular C. Neither Determine if the lines are parallel ..., Here's the best way to solve it. 12 Directions - Determine if the two lines are parallel, perpendicular, or intersecting (neither). If necessary, convert each equation to slope-intercept form (y = mx + b). L1 : 4x + 5y = 15 L2 : 4y = 5.0 - 12 L1 equation : y= = - +3 L2 equation : Choose: Perpendicular v., A: To Determine whether the given lines are parallel, perpendicular or neither. - 6x + 8y = -7 and 4x… Q: Which best describes the relationship between the lines with equations - 4x + 2y=-5 and - 8x +4y =…, Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2 . (6,3), (8,4) There's just one step to solve this. Expert-verified. Share Share., Question: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-4 + 4t)i + (5 + t)j L2: r(s) = (2 + 2s)i + (2 - 8s)j Determine whether the lines L 1 and L 2 given by the vector equations are parallel, perpendicular, or neither., The lines are neither parallel nor perpendicular.. What is an equation of the lines? An equation of the line is defined as a linear equation having a degree of one.The equation of the line contains two variables x and y.And the third parameter is the slope of the line which represents the elevation of the line.. Put the first equation in slope-intercept form, or y = mx + b., To determine if another line is parallel, perpendicular, or neither to this line, we need to compare their slopes. In slope-intercept form, the given equation can be written as y = (3/5)x - 3. Any line that has the same slope of 3/5 is parallel to this line. Any line that has a negative reciprocal slope of -5/3 is perpendicular to this line., If they are parallel they will have the same slope and if they are perpendicular they will have slopes that are negative reciprocals of each other. Given are two lines 4x + 5y = 10 and 5x - 4y = 28. We know the equation of a line is y = mx + b. ∴ 4x + 5y = 10 can be written as 5y = -4x + 10 Or y = - (4/5)x + 5/2., Find step-by-step Algebra solutions and your answer to the following textbook question: Determine if the two equations are parallel, perpendicular, or neither. a. y = x + 8; y = 10 + x b. 4y = 12 - x; y = -4x - 5 c. 3y = 12 - x; y = 3x + 4 d. -y = x + 8; y = 10 - x e. 4y = 12 + x; y = -4x - 5. ... hence the lines are not parallel neither ..., Question: QUESTION 7.1 POINT Determine if the following lines are parallel, perpendicular, or neither. + A -2x + 8y = 5 Select the correct answer below: O Parallel O perpendicular O Neither parallel nor perpendicular, The letters T and L are examples of perpendicular lines. By definition, parallel lines are two lines on the same plane that never intersect. The letters N and Z contain pairs of parallel lines. When determining if two lines are parallel or perpendicular, the slope is the key., Determine if the following lines are parallel, perpendicular, or neither. + 2 8x y = 3 -32x + 12y = 3 This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts., To find the negative reciprocal, first find the reciprocal and then change the sign. As with parallel lines, we can determine whether two lines are perpendicular by comparing their slopes. The slope of each line below is the negative reciprocal of the other so the lines are perpendicular. f (x) = 1 4x+2 negative reciprocal of 1 4 is −4 f (x ..., The two lines represented by x-3y=6 and y=3x+4 are neither parallel nor perpendicular, as their slopes are 1/3 and 3, respectively, which are not identical nor negative reciprocals of each other. Explanation: We are asked to determine whether the two lines represented by the equations x-3y=6 and y=3x+4 are parallel, perpendicular, or neither., Investors try to determine the value of a security such as a common stock or a bond so they can compare it to the current market price to see whether it is a good buy at the curren..., 7th Edition • ISBN: 9781305071759 (1 more) Lothar Redlin, Stewart, Watson. 9,608 solutions. 1 / 4. Find step-by-step Precalculus solutions and your answer to the following textbook question: The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $$ \begin {array} {l} {y=4 x+5} \\ {y=-4 x+2}\end ..., Two lines are parallel if their slopes are equal. Two lines are neither perpendicular nor parallel if their slopes are not equal or negative reciprocals of each other. Pair 1: 2y = 4x + 4 and y = -2x - 2. The slope of the first line is 2. The slope of the second line is -2. The negative reciprocal of 2 is -1/2. Therefore, the two lines are ..., Question: Determine whether the pair of lines is parallel, perpendicular, or neither. 12x+4y=16 18x+6y=27. Determine whether the pair of lines is parallel, perpendicular, or neither. 12x+4y=16 18x+6y=27. There's just one step to solve this. Expert-verified. Share Share. Step 1., Determine if the given lines are parallel, perpendicular, or neither. List the slopes each line on the provided sheet of paper. 6x+10y-20 and 5x-3y-21 There are 2 steps to solve this one., Wheel alignment is an essential maintenance task for any vehicle owner. It involves adjusting the angles of the wheels to ensure they are parallel to each other and perpendicular t..., (If the lines are parallel, enter PARALLEL.)(,) Determine whether the lines L 1 and L 2 given by the vector equations are parallel, perpendicular, or L 1 : r ( t ) = ( - 3 + 2 t ) i + ( 5 + t ) j, The lines are parallel. Step-by-step explanation: we know that The formula to calculate the slope between two points is equal to Remember that. If two lines are parallel, then their slopes are the same. If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1) step 1. Find the slope ..., To prevent catastrophes, air traffic controllers are trained in a culture of "psychological safety." Earlier this month, what could have been the worst aviation accident in history..., the equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. y = 2x - 3y = 2x + 4. Problem 1SC: Self-Check Use slope-intercept form to write an equation of the line with slope 73 and passing..., Advanced Math questions and answers. Determine whether the pair of lines are parallel, perpendicular, or neither. 4x - 2y + 3 = 0 and 2y+x-6=0 The slope of the line with the equation 4x - 2y +3 = 0 is. The slope of the line with the equation 2y +x-6=0 is . (Type integers or simplified fractions.) negative reciprocals, Since the slopes are ..., Question: The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither.y=3x-9y=-3x+7Are the lines parallel, perpendicular, or neither?PerpendicularParallelNeither. The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. y = 3 x - 9. y = - 3 x + 7., Determine if the Lines are Parallel, Perpendicular or Neither Given the EquationsIf you enjoyed this video please consider liking, sharing, and subscribing.U..., To determine which lines are parallel, perpendicular, or neither to the line y = x+8, we need to compare their slopes. 1. The line 6x - 4y = 25 can be rewritten in slope-intercept form as y = (3/2)x - (25/4). The slope of this line is 3/2, which is not the negative reciprocal of 1, so it is neither parallel nor perpendicular to y = x+8. 2., Parallel and Perpendicular Lines: (i) Two lines are said to be parallel if their slopes are equal. (i) Two lines are perpendicular to each other if the product of their slopes is -1. (iii) We find the slope of a line by converting it to the form y …