Question

Given points A(-4,1) and B(2,y), find the value of y such that m(A,B) = -1 is true

Answer 1

y = - 5

Explanation:

Calculate the slope m using the slope formula and equate to - 1

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (2, y)

m =
`(y-1)/(2+4)` =
`(y-1)/(6)` = - 1

Multiply both sides by 6

y - 1 = - 6 ( add 1 to both sides )

y = - 5