Answer:
A. [tex]y = \frac{4}{3} x - \frac{3}{2}[/tex]
Step-by-step explanation:
First, we have to turn 4x - 3y = -12 into slope-intercept form (y = mx + b). To do this, we first have to isolate 3y.
4x - 3y = -12
+3y +12 Add 3y to both sides and add 12 to both sides
4x + 12 = 3y
3y = 4x + 12
Isolate y by dividing 3 from both sides.
y = [tex]\frac{4}{3}[/tex]x + 4
The graph that is parallel will have the same slope as this equation, which is [tex]\frac{4}{3}[/tex].
Therefore, A. [tex]y = \frac{4}{3} x - \frac{3}{2}[/tex] would be the correct answer.
