find the value of (r) so that the line through (-4, 3) and (r, -3) has a slope of 2/3

Find the value of (r) so that the line through (-4, 3) and (r, -3) has a slope of 2/3.
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1 Answer

find the value of (r) so that the line through (-4, 3) and (r, -3) has a slope of 2/3

When you have the points (x1, y1) amd (x2, y2), then the slope of the line between them is given by

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

Since we have (x1, y1) = (-4, 3) and (x2, y2) = (r, -3), then the slope is

m = (-3 - 3) / (r - (-4)), i.e.

2/3 = -6 / (r + 4)

2(r + 4) = -18

r + 4 = -9

r = -13

by Level 11 User (81.5k points)

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