Question

What is the slope of the line through ( − 9 , 6 ) and ( − 6 , − 9 )?

Answer 1

The slope of the line through `(−9 , 6 )` and `(−6 , −9 )` is `-5`.

Explanation:

The formula for the slope of a line when two points (coordinate pairs) `(x_1, y_1)` and `(x_2, y_2)` are given is `m=(y_2-y_1)/(x_2-x_1)`, where `m` denotes the slope of the line.

Applying this formula, we get:

`m=(-9-6)/(-6-(-9))`

`m=(-15)/(-6+9)`

`m=(-15)/3`

`m=-5`