What is the slope of the line passing through the following points: $(- 3, - 1); (- 1, 5)$ $(-3, -1) ; (-1, 5)$ ?

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What is the slope of the line passing through the following points: $(- 3, - 1); (- 1, 5)$ $(-3, -1) ; (-1, 5)$ ?

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Answer 1 · 2016-01-03T03:22:29

The slope, $m$ $m$ , is $3$ $3$ .

Explanation:

The equation for finding the slope of a line from two points is $m = \frac{y_{2} - y_{1}}{x_{2}, x_{1}}$ $m=(y_2-y_1)/(x_2,x_1)$ , where $m$ $m$ is the slope, $(x_{1}, y_{1})$ $(x_1,y_1)$ is on point and $(x_{2}, y_{2})$ $(x_2,y_2)$ is the other point.

Point 1: $(- 3, - 1)$ $(-3,-1)$
Point 2: $(- 1, 5)$ $(-1,5)$

Substitute the values for the points into the equation.

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

$m = \frac{5 - (- 1)}{- 1 - (- 3)}$ $m=(5-(-1))/(-1-(-3))$

Simplify.

$m = \frac{5 + 1}{- 1 + 3}$ $m=(5+1)/(-1+3)$

Simplify.

$m = \frac{6}{2}$ $m=6/2$

Simplify.

$m = 3$ $m=3$

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What is the slope of the line passing through the following points: $(- 3, - 1); (- 1, 5)$ $(-3, -1) ; (-1, 5)$ ?

1 Answer

Explanation:

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What is the slope of the line passing through the following points: $(- 3, - 1); (- 1, 5)$ $(-3, -1) ; (-1, 5)$ ?