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solniwko [45]
4 years ago
5

A line has a slope of 3 and includes the points (-10,2) and (-8,k). what is the value of g.

Mathematics
1 answer:
qwelly [4]4 years ago
4 0

The formula of a slope:

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

We have the points (-10, 2) and (-8, k) and the slope m = 3. Substitute:

\dfrac{k-2}{-8-(-10)}=3\\\\\dfrac{k-2}{2}=3\qquad\text{multiply both sides by 2}\\\\k-2=6\qquad\text{add 2 to both sides}\\\\\boxed{k=8}

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