Question

what is the slope of a line parallel to the line whose equation is 3x – 4y = 8

A. - 4/3
B. - 3/4
C. 3/4
D. 4/3


Please help asap. 20 points

Answer 1

Hi there! The answer is C.

We can find the slope of this line by making y the subject of the equation.

$3x - 4y = 8 \\ - 4y = - 3x + 8 \\ y = \frac{ - 3}{ - 4} x + \frac{8}{ - 4} \\ y = \frac{3}{4} x - 2$

Now we can see that the slope of this line (which is positioned in front of x) is 3/4. Therefore, the slope of any line parallel to this one is 3/4 as well. The answer is C.