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
