Answer:
r = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)
m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
2(r + 6) = 24 ( divide both sides by 2 )
r + 6 = 12 ( subtract 6 from both sides )
r = 6
