How do you find the slope of a line A(1,5) B(3,15)?

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How do you find the slope of a line A(1,5) B(3,15)?

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Answer 1 · 2015-06-09T10:00:46

The slope of the line running through the two given points is 5.

Explanation:

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

Let $(1, 5)$ $(1,5)$ be $(x_{1}, y_{1})$ $(x_1,y_1)$ , where $x_{1} = 1$ $x_1=1$ and $y_{1} = 5$ $y_1=5$ .

Let $(3, 15)$ $(3,15)$ be $(x_{2}, y_{2})$ $(x_2,y_2)$ where $x_{2} = 3$ $x_2=3$ and $y = 15$ $y=15$ .

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{15 - 5}{3 - 1} = \frac{10}{2} = 5$ $m=(y_2-y_1)/(x_2-x_1)=(15-5)/(3-1)=(10)/2=5$

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How do you find the slope of a line A(1,5) B(3,15)?

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