Question

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

Answer 1

The slope is: `-5/3`

Explanation:

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`