Please help Which line is perpendicular to 4y+3x=12? A)3x+4y=8 B)y=-3x+8 C)y+4x=-3 D)8x-6y=18

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Please help
Which line is perpendicular to 4y+3x=12?
A)3x+4y=8
B)y=-3x+8
C)y+4x=-3
D)8x-6y=18

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Khải Quang 4 years 2021-08-08T11:58:16+00:00 1 Answers 30 views 0

Answers ( )

  1. huyenthanh
    0
    2021-08-08T11:59:40+00:00
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    Answer:

    D) 8x – 6y = 18

    Step-by-step explanation:

    The general equation of a line is;

    y = mx + c

    m is the slope and c is the y-intercept

    so for;

    4y + 3x = 12

    4y = -3x + 12

    divide through by 4

    y = -3/4x + 3

    the slope here is -3/4

    To get the other line, we divide -1 by the slope of the first line

    This is because when two lines are perpendicular, the product of their slopes is -1

    So the slope of the line we are looking for is -1 divide by -3/4 = 4/3

    Let us take a look at option D

    8x – 6y = 18

    6y = 8x – 18

    divide through by 2

    3y = 4x – 9

    divide through by 3

    y = 4/3(x) – 3

    So as we can see, we have our slope as 4/3 and this option is our answer

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