Answer:
y₂ = 3
Step-by-step explanation:
Calculate the 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 ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )
m = [tex]\frac{y_{2}+6 }{-5-7}[/tex] , that is
[tex]\frac{y_{2}+6 }{-12}[/tex] = - [tex]\frac{3}{4}[/tex] ( cross- multiply )
4(y₂ + 6) = 36 ( divide both sides by 4 )
y₂ + 6 = 9 ( subtract 6 from both sides )
y₂ = 3
