Question

Find the slope given the ordered pairs. Slope = change in y-values / change in x-values (-2, 2) and (2, 0) A m=−12m=− 2 1 ​ B m=−23m=− 3 2 ​ C m=12m= 2 1 ​ D m=23m= 3 2 ​

Answer 1

`m=-(1)/(2)`

Explanation:

Pre-Solving

We are given the points (-2, 2) and (2,0). We want to find the slope (m) between these two points.

We can find the slope (m) using the formula
`(y_2-y_1)/(x_2-x_1)` where
`(x_1,y_1)` &
`(x_2,y_2)` is a point.

Though we already have the points, let's label the values to avoid any confusion and mistakes:

`x_1=-2\\y_1=2\\x_2=2\\y_2=0`

Solving

Substitute the values into the formula.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(0-2)/(2--2)`

This can be simplified to:

`m=(0-2)/(2+2)`

`m=(-2)/(4)`

`m=-(1)/(2)`