Question

A line that includes the points (k, 0) and (3,-2) has a slope of -2. What is the value of k?

k =
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Answer 1

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Answer:

k = 2

Explanation:

The slope formula gives the slope between two points:

m = (y2 -y1)/(x2 -x1)

-2 = (-2 -0)/(3 -k)

Multiplying by (3 -k) gives ...

-2(3 -k) = -2

3 -k = 1

k = 3 -1 = 2

The value of k is 2.