Measure slope, -*m*, with the following formula:

*m*= *y*_{2}_{1} *x*_{2}−*x*_{1}

Be careful: *x* and *y* are not raised to the 2^{nd} power.

Calculate the slope of *y*= 1/2*x* +2 using the following points on the graph: (2,3) and (-8,-2).

Follow these steps:

**1. Label x_{1}, y_{1,}x_{2}, y_{2}:**

*x*_{1},*y*_{1} *x*_{2},*y*_{2}(2,3) (-8,-2)

**2. Plug the numbers into the formula:**

*m*= -2−3

-8−2

**3. Simplify: **

*m*= -5

-10

*m*= 1

2

Slope is 1/2.

Notice that the slope is the same here as it was when we used points A and B on the graph. (See the article, *How to Find the Slope of a Line With a Graph*.)

For any given linear function, the slope is the same throughout the entire line.