Algebra

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –3/4x+2

3x-4y=-8

A.parallel
B.perpendicular ( my answer)
C.neither

  1. 👍 0
  2. 👎 0
  3. 👁 172
  1. Hey, A Child!

    Once again, you are dealing with systems of equations. Except this time, it is graphing them.
    Before I start....I want to define the terms real quick.
    Parallel means they run side-by-side in a straight line slanting upwards, but never intersect. If an equation is parallel it normally does not give an ordered coordinate pair.
    Perpendicular means they intersect at one point and then continue in the direction infinitely.

    To graph them, solve for X and Y first.
    The best way to do this is to use substitution (at least for this equation)

    y = -3/4x + 2
    3x - 4y = -8

    Step 1:Solve y = -3/4x + 2 for y
    Notice that the value of y is already given; -3/4x + 2

    So, substitute -3/4x + 2 for y in 3x - 4y = -8
    3x - 4y = -8
    3x - 4(-3/4x + 2) =-8
    6x - 8 = -8
    6x - 8 + 8 = -8+ 8
    6x = 0
    x = 0

    Step 2: Substitute 0 for in y = -3/4x + 2

    y = -3/4x + 2
    y = -3/4(0) + 2
    y = 2

    So, x = 0 and y = 2. This is where the points will intersect.
    Since it is where the points intersect, it is perpendicular.
    You can also graph it to determine if it is parallel or perpendicular by calculating the slope and Y intercept.

    1. 👍 0
    2. 👎 0
  2. y = –3/4x+2
    slope = -3/4

    3x-4y=-8
    slope = 3/4

    Just because two lines intersect does not mean they are perpendicular.
    Also, perpendicular means that the two slopes multiply to a product of -1.

    Neither parallel nor perpendicular

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Which best describes the relationship between the lines with equations -16x+2y=0 and -x-8y=-2? a. neither parallel nor perpendicular b. parallel c. same line d. perpendicular

    asked by alan on October 26, 2007
  2. Algebra

    1. for the data in the table, does y vary directly with x? if it does write an equation for the direct variation. 10 | 12 15 | 18 20 | 24 A. yes; y = 1.2x B. yes; y = 2x C. yes; y = x + 1 D. no; y does not vary directly with x 2.

    asked by Just a kid who needs help, please. on December 14, 2018
  3. maths

    P(6,3), Q(3,7), and R(4,2) are three points in a plane. A is the midpoint of QR and B is the foot of the perpendicular from Q to PR. Find;- (A) the cordinates of A; (B) the equations of the lines PA and QB; (C) the point of

    asked by matt on April 28, 2019
  4. geometry

    find the slope of a line that passes through the following points. (4,5) and (3,0) using the perpendicular and parallel slopes write slope intercept form equations for both perpendicular and parallel lines all perpendicular lines

    asked by da on December 7, 2015
  5. Plz Check my Geometry(sOo0n)

    1.) Given points A(-4, 5), B(2, 3), C(0, 4) and D(5, 0), decide if AB and CD are parallel, perpendicular or neither. =Neither 2.)Given the equations y = 1x + 7 and y = 3x - 2, decide whether the lines are parallel, perpendicular

    asked by Ariel on June 9, 2010
  1. Algebra

    Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. y=-3/4x+2 3x-4y=-8

    asked by help meh on January 12, 2016
  2. Algebra

    6. y = 2x - 1 and y = x + 3 ***A. (4,7) B. (7, 4) C. (-7, -4) D. infinite solutions 7. y = 4x and y + x = 5 A. (-4, 1) B. (1, 4) C. (-3, 2) ***D. (2,3) 8. What will the graph look like for a system of equations that has no

    asked by Leet Speaker on March 1, 2016
  3. Math

    What will the graph look like for a system of equations that has no solution? A. The lines will be perpendicular. B. The lines will cross at one point. C. Both equations will form the same line. D. The lines will be parallel. I

    asked by Cassie on April 9, 2013
  4. math

    Find the slope of the lines that are (a) parallel lines (b) perpendicular lines to the lines passing through the pair of points (3, 4)(2,-1)

    asked by Bridget on November 4, 2013
  5. math

    Find the slope of the lines that are (a) parallel lines (b) perpendicular lines to the lines passing through the pair of points (3, 4)(2,-1)

    asked by Bridget on November 4, 2013
  6. Algebra

    Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line. Answer these two questions briefly in your own words: What does it mean for one line to be

    asked by Patrice Mason on February 20, 2014

You can view more similar questions or ask a new question.