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Slope

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Dominic Arkenburg

on 16 April 2015

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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.
Full transcript