Question

What is the slope of the line that contains the points (-2, 1) and (0, -3)?

Answer 1

`m = (y_2 - y_1)/(x_2 - x_1) = -1/2`

Explanation:

A slope's gradient (`m`) is equal to its rise (change in y value), over run (change in x value) or `(y_2 - y_1)/(x_2 - x_1)`.
Substituting our values into this formula and solving, we get:
`m = (-2-0)/(1+3)`
`m = -2/4`
`m = -1/2`
Therefore the gradient of the slope is `-1/2` or `0.5`.