What is the slope of the line through the points (3, -2) and (5, 8)?

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What is the slope of the line through the points (3, -2) and (5, 8)?

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Answer 1 · 2016-12-10T07:41:06

$m = 5$ $m=5$

Explanation:

Use the slope formula, $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m=(y_2-y_1)/(x_2-x_1)$ , where $m$ $m$ is the slope and $(x_{1}, y_{1})$ $(x_1,y_1)$ one point, and $(x_{2}, y_{2})$ $(x_2,y_2)$ is the other point.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m=(y_2-y_1)/(x_2-x_1)$

I am going to make Point 1 $(3, - 2)$ $(3,-2)$ , and Point 2 $(5, 8)$ $(5,8)$ . (You can reverse the points and get the same results.)

Substitute the known values into the equation.

$m = \frac{8 - (- 2)}{5 - 3}$ $m=(8-(-2))/(5-3)$

$m = \frac{8 + 2}{2}$ $m=(8+2)/2$

$m = \frac{10}{2}$ $m=10/2$

$m = 5$ $m=5$

Reversing the Points

$m = \frac{- 2 - 8}{3 - 5}$ $m=(-2-8)/(3-5)$

$m = \frac{- 10}{- 2}$ $m=(-10)/-2$

$m = \frac{10}{2}$ $m=10/2$

$m = \frac{5}{2}$ $m=5/2$

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What is the slope of the line through the points (3, -2) and (5, 8)?

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