Question

(8,y) and (-2,4);slope =-1/5

Answer 1

y = 2

Explanation:

Calculate the slope m and equate to -
`(1)/(5)`

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(y-4)/(8+2)` , that is

m =
`(y-4)/(10)` = -
`(1)/(5)`

Multiply both sides by 10 to clear the fractions

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

y = 2