What is the slope through the points (-3,-8) and (0,-2)?

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What is the slope through the points (-3,-8) and (0,-2)?

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Answer 1 · 2016-11-21T02:02:03

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Explanation:

The equation for the slope is $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $(y_2-y_1)/(x_2-x_1)$ , or the change in y over the change in x.
When you have two sets of coordinates, they are $(x_{1}, y_{1})$ $( x_1 , y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ . It doesn't matter what set of coordinates are which because you will get the same slope if you do it right.

So, you can make $(- 3, - 8)$ $(-3,-8)$ be $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(0, - 2)$ $(0,-2)$ be $(x_{2}, y_{2})$ $(x_2,y_2)$ . Then, just plug it into the slope equation.

$\frac{- 2 - (- 8)}{0 - (- 3)} = \frac{- 2 + 8}{0 + 3} = \frac{6}{3} = 2$ $(-2-(-8))/(0-(-3))=(-2+8)/(0+3)=6/3=2$

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What is the slope through the points (-3,-8) and (0,-2)?

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