Question

How do you find the slope of (-6, -15) and (4, -5)?

Answer 1

The slope is `1`.

Explanation:

The slope `m` of a line through two points `(x_1, y_1)` and `(x_2, y_2)` is given by dividing the change in `y` by the change in `x` as described by the formula:

`m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

In our example, `(x_1, y_1) = (-6, -15)` and `(x_2, y_2) = (4, -5)`, giving us:

`m = (-5-(-15))/(4-(-6)) = 10/10 = 1`