Question

How do you find the slope of the line through f (-4) =1 and f (-1) =-3?

Answer 1

Use the formula for slope to find slope = `-1/2`

Explanation:

If a line passes through points `(x_1, y_1)` and `(x_2, y_2)` then its slope `m` is given by the formula:

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

In our case, let `(x_1, y_1) = (1, -4)` and `(x_2, y_2) = (-1, -3)`.

Then

`m = (-3 - (-4))/(-1 - 1) = 1/(-2) = -1/2`