Answer:
d. (2, 0)
Step-by-step explanation:
Parallel lines have the same slope.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points A(-4, 0) and B(2, -3). Substitute:
[tex]m=\dfrac{-3-0}{2-(-4)}=\dfrac{-3}{6}=-\dfrac{1}{2}[/tex]
C(-2, 2).
The point on the x-axis D(x , 0).
The slope:
[tex]m=\dfrac{0-2}{x-(-2)}=\dfrac{-2}{x+2}[/tex]
Put the value of the slope:
[tex]\dfrac{-2}{x+2}=\dfrac{-1}{2}[/tex] change the signs
[tex]\dfrac{2}{x+2}=\dfrac{1}{2}[/tex] cross multiply
[tex]x+2=(2)(2)[/tex]
[tex]x+2=4[/tex] subtract 2 from both sides
[tex]x=2[/tex]
