Question

What is the slope of the line between (-4 , 4 ) and (-2, 7)?

Answer 1

`m = 3/2`

Explanation:

The definition of slope is "rise" over "run".

In order to go from the first point to the second, we need to rise from 4 to 7, i.e. by 3.

We also need to run from -4 to -2, i.e. by 2.

Therefore the slope is `3/2`.

Similarly, we can use a formula:
`m = (Delta y)/ (Delta x) = (y_2 - y_1)/(x_2 - x_1) = (7-4)/(-2 - (-4)) = 3/(2)`.