Answer:
r = 2
Step-by-step explanation:
Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)
m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )
5 - r = 3 ( subtract 5 from both sides )
- r = - 2 ( multiply both sides by - 1 )
r = 2
