Question

A line with a slope of o passes through the points (9, z) and (-7, 5). What is the value of z?

Answer 1

z = 5

Explanation:

m = ∆y/∆x = y₂-y₁/x₂-x₁

0 = y₂-y₁/x₂-x₁ = 5 - z / -7 - 9 = 5 - z / -16 →

5 - z / -16 = 0 → 5 - z / -16 × -16 = 0 × -16 → 5 - z = 0 →

5 - z - 5 = 0 - 5 → -z = -5 → z = 5