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Here are some tips for Determining Slope, which aligns with Florida state standards:

**Determining Slope**

For this topic, you will need to know how to identify points on a graph.

To review the Ordered Pairs topic, see here.

The **slope of a line** (**m**) tells you how steep is the line. You can figure out the slope of a line when you know the coordinates of two points on the line.

m= y_{2}-y_{1}

x_{2}-x_{1}where ( x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

A simple way to remember the formula is "rise over run" where *rise* is the change in *y* (or change in up and down) and *run* is the change in *x* (or change in left and right).

There are four types of slopes: positive, negative, zero, and undefined.

*Positive slope:*

Lines with positive slopes go up from left to right. (5,5) and (0,1) are two points on the line.

m= y_{2}-y_{1}

x_{2}-x_{1}= 5 - 1

5 - 0= 4

5

*Negative slope:*

Lines with negative slopes go down from left to right. (0,0) and (4,-3) are two points on the line.

m= y_{2}-y_{1}

x_{2}-x_{1}= - 3 - 0

4 - 0= - 3

4

*Zero slope:*

Lines with zero slopes are horizontal lines going left and right. (-6,5) and (2,5) are two points on the line.

m= y_{2}-y_{1}

x_{2}-x_{1}= 5 - 5

- 6 - 2= 0

- 8= 0

*Undefined slope:*

Lines with undefined slopes are vertical lines going up and down. (4,6) and (4,2) are two points on the line.

m= y_{2}-y_{1}

x_{2}-x_{1}= 6 - 2

4 - 4= 4

0= undefined

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