The points (3,r) and (6,-4) lie on a line with slope -1 . Find the missing coordinate r

Question

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Answer 1

Use point-slope form: y₂ - y₁ = m(x₂ - x₁)

Points are (3, r) and (6, -4); m = -1

-4 - r = -1(6 - 3)

-4 - r = -6 + 3 = -3 -4 + 3 = r

r = -1