#### Transcript of Slope

Slope is the rate of change between two points on a line.

To find the slope, divide the ratio of change on the y axis by the ratio of change on the x axis.

**Slope**

What Is Slope?

Example Problem

How to Find Slope

As you saw in the problem, to find the

slope you have to divide how much the point changed on the Y axis by how much the point changed on the X axis. In this problem the point went up by 4 on the Y axis and across 3 on the X axis. As it said in the problem you would do 4 divided by 3 and get 1.3333 repeated.

Now you try one

Find the slope of the line.

Common Mistakes

One common mistake that people might make is by dividing x by y instead of y by x and that would get you the wrong answer.

The Answer to That Practice Problem You Just Saw:

Teacher: The slope is 4.

Student: How?

Teacher: 4, the ratio of change on the y axis, divided by 1, the ratio of change on the x axis, is 4.

More Practice Problems

Answers:

5: 1.5

6: 0.5

New concept: Linear Variation

To find the slope of a line that does not go through the point (0,0), find the difference in the two ratios of change on the x axis. Do the same thing with the ratios of change on the y axis. Then divide the difference in the y ratios by the difference in the x ratios.

For example, in number 7, 1 - (-4) = 5. ( 1 and -4 are the values in the x axis). Do that for the values in the y axis, and divide.

Now You Try

Answers:

7: 1

8: 0.75

Review

Find the Slope

Slope is the rate of change between two points on a line.

To find the slope, divide the ratio of change on the y axis by the ratio of change on the x axis.

To find the slope of a line that does not go through the point (0,0), find the difference in the two ratios of change on the x axis. Do the same thing with the ratios of change on the y axis. Then divide the difference in the y values by the difference in the x values.

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