Respuesta :

Answer:

y = 2

Step-by-step explanation:

Calculate the slope m and equate to - [tex]\frac{1}{5}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (8, y)

m = [tex]\frac{y-4}{8+2}[/tex] , that is

m = [tex]\frac{y-4}{10}[/tex] = - [tex]\frac{1}{5}[/tex]

Multiply both sides by 10 to clear the fractions

y - 4 = - 2 ( add 4 to both sides )

y = 2