Question

What is the answer??

Answer 1

Answer:

y₂ = 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - $\frac{3}{4}$

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )

m = $\frac{y_{2}+6 }{-5-7}$ , that is

$\frac{y_{2}+6 }{-12}$ = - $\frac{3}{4}$ ( cross- multiply )

4(y₂ + 6) = 36 ( divide both sides by 4 )

y₂ + 6 = 9 ( subtract 6 from both sides )

y₂ = 3