Question

What is the slope of the line passing through the following points: `(-2,8) , (-1,4)`?

Answer 1

`m=-4`

Explanation:

Use the equation `m=(y_2-y_1)/(x_2-x_1)`, where `m` is the slope, and one point is `(x_1,y_1)` and the other point is `(x_2,y_2)`. (It doesn't matter which point is which as long as you are consistent.

Let Point 1`=` `(-2,8)`.
Let Point 2`=` `(-1,4)`.

Substitute the `x` and `y` values into the equation.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(4-8)/(-1-(-2)`

Simplify.

`m=(-4)/(-1-(-2)`

Simplify.

`m=(-4)/(-1+2)`

Simplify.

`m=(-4)/1`

Simplify.

`m=-4`