Answer:
B
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, 2) and (x₂, y₂ ) = (r, - 4)
m = [tex]\frac{-4-2}{r-3}[/tex] = [tex]\frac{-6}{r-3}[/tex] , then equating gives
[tex]\frac{-6}{r-3}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3(r - 3) = - 12 ( divide both sides by 3 )
r - 3 = - 4 ( add 3 to both sides )
r = - 1 → B
