Question

What is the slope of the line passing through the following points: # (-7,-2), (5, 9) #?

Answer 1

The slope is `(Delta y)/(Delta x)=(y_2-y_1)/(x_2-x_1)`.

Explanation:

Choose which point will be the first and which the second.
Let's choose: `P_1=(-7,-2)` and `P_2=(5,9)`

The slope is:
`(y_2-y_1)/(x_2-x_1)=(9-(-2))/(5-(-7))=(9+2)/(5+7)=11/12`

If you choose `P_1=(5,9)` and `P_2=(-7,-2)` the slope don't change.