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# Slope review

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

## What is slope?

Slope is a measure of the steepness of a line.

*Want an in-depth introduction to slope? Check out this video.*

### Example: Slope from graph

We're given the graph of a line and asked to find its slope.

The line appears to go through the points $(0,5)$ and $(4,2)$ .

In other words, for every three units we move vertically down the line, we move four units horizontally to the right.

*Want to learn more about finding slope from graphs? Check out this video.*

### Example: Slope from two points

We're told that a certain linear equation has the following two solutions:

Solution: $x=11.4\text{}\text{}\text{}y=11.5$

Solution: $x=12.7\text{}\text{}\text{}y=15.4$

And we're asked to find the slope of the graph of that equation.

The first thing to realize is that each solution is a point on the line. So, all we need to do is find the slope of the line through the points $(11.4,11.5)$ and $(12.7,15.4)$ .

The slope of the line is $3$ .

*Want to learn more about finding slope from two points? Check out this video.*

## Practice

*Want more practice? Check out this Slope from graphs exercise and this Slope from points exercise.*

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