A line passes through the points (–12,3) and (16,–18). Write its equation in slope-intercept form.

Question

A line passes through the points (–12,3) and (16,–18). Write its equation in slope-intercept form.
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Solution 1

Step 1: Find the slope of the line

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

Substituting the given points (-12, 3) and (16, -18) into the formula, we get:

m = (-18 - 3) / (16 - (-12)) = -21 / 28 = -3/4

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