3 years ago

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

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Answer:

z = 5

Step-by-step 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

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