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
