What is the slope of (1, –5) and (4, 1)?

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What is the slope of (1, –5) and (4, 1)?

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Answer 1 · 2018-06-27T06:30:54

The slope is $2$ $2$ .

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 $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ are the two points. It doesn't matter which point you choose as $1$ $1$ or $2$ $2$ . You will get the same slope.

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

Point 2: $(4, 1)$ $(4,1)$

$m = \frac{1 - (- 5)}{4 - 1}$ $m=(1-(-5))/(4-1)$

$m = \frac{6}{3}$ $m=6/3$

$m = 2$ $m=2$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Point 1: $(4, 1)$ $(4,1)$

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

$m = \frac{- 5 - 1}{1 - 4}$ $m=(-5-1)/(1-4)$

$m = \frac{- 6}{- 3}$ $m=(-6)/(-3)$ $\leftarrow$ $larr$ Two negatives make a positive.

$m = 2$ $m=2$

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What is the slope of (1, –5) and (4, 1)?

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