What is the slope between the points (-5,7) and (4-8)?

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Answer 1 · 2017-01-08T23:56:59

The slope is: $-5/3$

The slope can be found by using the formula: $m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))$

Where $m$ is the slope and ( $color(blue)(x_1, y_1)$ ) and ( $color(red)(x_2, y_2)$ ) are the two points on the line.

Substituting the points from the problem results in:

$m = (color(red)(-8) - color(blue)(7))/(color(red)(4) - color(blue)(-5))$

$m = (color(red)(-8) - color(blue)(7))/(color(red)(4) + color(blue)(5))$

$m = -15/9$

$m = (3 xx -5)/(3 xx 3)$

$m = (cancel(3) xx -5)/(cancel(3) xx 3)$

$m = -5/3$