How do you find the slope of (-2,-1) and (2,-6)?

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Answer 1 · 2016-06-24T19:01:46

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

These questions usually are formatted in this way

(-2,-1) and (2,-6) is $(x_{1}, y_{1})$ $(x_1, y_1)$ and $(x_{2}, y_{2})$ $(x_2, y_2)$

$x_{1} = - 2$ $x_1=-2$
$x_{2} = 2$ $x_2=2$

$y_{1} = - 1$ $y_1=-1$
$y_{2} = - 6$ $y_2=-6$

$y_{2} - y_{1} = (- 6 - (- 1)) = - 5$ $y_2-y_1=(-6-(-1))=-5$
$x_{2} - x_{1} = (2 - (- 2)) = 4$ $x_2-x_1=(2-(-2))=4$

slope = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 6 - (- 1)}{2 - (- 2)} =$ $(y_2-y_1)/(x_2-x_1)=(-6-(-1))/(2-(-2))=$ -5/4 $= - 1.25$ $=-1.25$

The slope of (-2,-1) and (2,-6) can be represented as a decimal, fraction, or percentage.

Slope as a decimal

= $- 1.25$ $-1.25$

a fraction

= $- \frac{5}{4}$ $-5/4$

and a percentage

= $- 1.25 \times 100 % = - 125 %$ $-1.25xx100%=-125%$