Question:

Find k if the line passing through points P(-12,-3) and Q(4, k)has slope 1/2 .

Answer:

Given points are P(-12,-3) and Q(4, k).
x₁ = -12 , y₁ = -3 , x₂ = 4 , y₂ = k
Slope of line PQ = (y₂-y₁)/ (x₂-x₁)
= (k-(-3))/(4-(-12)
= (k+3)/16
Given slope of line passing through P and Q is 1/2.
½ = (k+3)/16
2(k+3) = 16
k+3 = 8
k = 8-3 = 5
Hence the value of k is 5.

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Find k if the line passing through points P(-12,-3) and Q(4, k)has slope 1/2 .

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