Answer:
r = -13
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the slope m = 2/3 and the points (-4, 3) and (r, -3). Substitute:
[tex]\dfrac{-3-3}{r-(-4)}=\dfrac{2}{3}[/tex]
[tex]\dfrac{-6}{r+4}=\dfrac{2}{3}[/tex] cross multiply
[tex]2(r+4)=(-6)(3)[/tex] divdide both sides by 2
[tex]r+4=(-3)(3)[/tex]
[tex]r+4=-9[/tex] subtract 4 from both sides
[tex]\boxed{r=-13}[/tex]
