Question

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

Answer 1

D) 8x - 6y = 18

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