Question

How do you find the slope given (2, -1) (4,7)?

Answer 1

`"Slope"=4`

Explanation:

`"Slope"="rise"/"run"=(Delta y)/(Delta x)=(y_2-y_1)/(x_2-x_1)`

We can pick which set of points we want to be the first and second ones (doesn't matter - the math will make it work out regardless of which is which).

`(y_2-y_1)/(x_2-x_1)=(7-(-1))/(4-2)=8/2=4`

and just to show that it is true:

`(y_2-y_1)/(x_2-x_1)=((-1)-7)/(2-4)=(-8)/(-2)=4`