Question

How do you find the slope of `(-4, 5), (-8, -5)`?

Answer 1

See the entire solution process below:

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 values from the points in the problem and calculating gives:

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

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

`m = (-10)/-4 = 5/2`