Question

What is the slope of the line passing through the following points: `(-4,-2), (-3,8)`?

Answer 1

The slope is `10`.

Explanation:

Slope is `"rise"/"run"`, or the change in the `y` coordinate divided by the change in `x`.

Mathematically this is written

`(deltay)/(deltax)`

To calculate change in a coordinate, take the second one and subtract the first.

`deltay = 8 - (-2) = 10`
`deltax = -3 - (-4) = 1`

Therefore the slope is

`(deltay)/(deltax) = 10/1 = 10`

Answer 2

10

Explanation:

Slope is rise over run, in other words, the change in the `y` divided by the change in `x`.
'Change in' is the difference between the numbers, so
`(y_2-y_1)` divided by `(x_2-x_1)`

`(8- -2)/(-3- -4) =(10)/(1) = 10`