How do you find the slope of (1, 3) and (-3, 5)?

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How do you find the slope of (1, 3) and (-3, 5)?

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Answer 1 · 2017-04-01T20:28:50

The slope of the two points, $(1, 3)$ $(1,3)$ and $(- 3, 5)$ $(-3,5)$ , is $- \frac{1}{2}$ $-1/2$ , which can be found by using the slope equation (see explanation).

Explanation:

Slope is the change in $y$ $y$ divided by change in $x$ $x$ , or "rise over run".
Slope = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $(y_2-y_1)/(x_2-x_1)$

Using these two points, $(1, 3)$ $(1,3)$ and $(- 3, 5)$ $(-3,5)$ :
$x_{1} = 1$ $x_1=1$
$y_{1} = 3$ $y_1=3$

$x_{2} = - 3$ $x_2=-3$
$y_{2} = 5$ $y_2=5$

Plug into the slope equation:
Slope = $\frac{5 - 3}{- 3 - 1} = \frac{2}{- 4} = - \frac{1}{2}$ $(5-3)/(-3-1)=2/-4=-1/2$

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How do you find the slope of (1, 3) and (-3, 5)?

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