Question

How do you find the slope of a line passing through (-2, 9) and (5, 3)?

Answer 1

The slope is `-6/7`.

Explanation:

The formula that we use to find the slope (represented by `m`) is `(rise)/(run)`. Rise is equal to `y_2-y_1` and the run is equal to `x_2-x_1`. So, the actual formula is `m=(y_2-y_1)/(x_2-x_1)`.

`(x_1, y_1)` and `(x_2, y_2)` is equal to `(-2, 9)` and `(5, 3)` (the points can be the other way around like `(5, 3)` and `(-2, 9)`). then we can substitute the values into the formula like this:
`m=(y_2-y_1)/(x_2-x_1)`
`m=(3-9)/(5-(-2))`
`m=-6/7`

Hope this helps you, mate.