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Vladimir [108]
3 years ago
10

Find the value of k so that the line through the given points has the given slope.

Mathematics
1 answer:
Kay [80]3 years ago
7 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}

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