Question

What is the slope of the line that passes through `(-2,7)` and `(4,9)`?

Answer 1

The slope is `\frac{1}{3}`.

Explanation:

The equation for a straight line is `y=mx + c`, where `m` is the gradient (or slope).

To find the gradient:
`\text{gradient} = \frac{\text{rise}}{\text{run}}`
`m = \frac{y_1 - y_0}{x_1 - x_0}`
`m = \frac{9-7}{4 - (-2)}`
`m = \frac{9-7}{4 + 2}`
`m = \frac{2}{6}`
`m = \frac{1}{3}`

The slope is `\frac{1}{3}`.