How to find Slope of a Table: 3 Tricks that Work

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How to find Slope from a Table

Finding Slope from a Table relies on knowing that Slope is a ratio between the difference in the y-values divided by the difference in the x-values. When finding the slope, you must first find the difference in y-values in the table. You must then find the difference in the x-values in the table. The last step is to divide the difference in the y-values by the difference in the x-values. Anytime you Find Slope from Table you must reduce the fraction if it can be reduced. Download the free Slope from Tables worksheet by clicking on the link on the right side of this page.

Common Core Standard: 8.F.B.4

Return To: Home, 8th Grade

A Short Explanation for Finding Slope from a Table

In order to know how to find Slope on a Table depends on realizing that Slope is a ratio between the change in the y-values divided by the change in the x-values. This is how to calculate slope: When finding the rise, you should find the difference in y-values in the table. When finding the run, you should find the difference in the x-values in the table. The last advance is to divide the difference in the y-values by the difference in the x-values. Whenever you Find Slope of a Table you should reduce if possible. This is the easiest way to answer how to find slope in a table.

3 Steps for Finding Slope from a Table Worksheet Example

Find the change in the y-values by subtracting from one row to the next.
Find the change in the x-values by subtracting from one row to the next.
Divide the difference in the y-values by the difference in the x-values.

Practice Problems for the table represents a linear function. What is the slope of the function?

What the video showing how to find Slope from a Table Examples

Watch our free video on how to Find the Slope from a Table. This video shows how to solve problems that are on our free Finding Slope from Tables worksheet that you can get by submitting your email above.

Watch the free Finding Slope of a Table video on YouTube here: How to Find Slope of a Table

Video Transcript:

This video is about how to find slope of a line one a table. You can get the find slope from a table worksheet used in this video for free by clicking on the link in the description below.

In order to show you how to find slope of a table you have to know what slope is equal to. Slope is equal to the rise of an equation divided by the run of that equation. You could also say slope is equal to the change in the Y values divided by the change in the x value. In talking about slope you have to find the rise and you also have to find the run. We know that the rise is the change in the Y value. We’re going to look at our Y values here and we’re going to count how much we go up or down by.

The change in the Y value we go from negative 20 to negative 23 we subtract 3 and then negative 23 to negative 26. We subtract 3 again and then negative 26 to negative 25, 29. We also subtract 3. Our rise which is the change in the Y value is negative 3 because our Y value is being subtracted by 3 each time.

Then you have to find the run and the run is the change in the x value. If we look at our X column, when we go from one cell to the next negative 2 to negative 1 we are adding 1. This is plus 1 negative 1 to 0 this is plus 1 and then 0 to positive 1, this is also plus 1. Our Run will be plus 1 or just one.

Slope is the rise divided by the run the rise is negative 3 and the run is positive 1 and then of course negative 3 divided by 1 simplifies to negative 3. The slope for our first example will be negative 3.

For number two or given a new table we have to find the slope again and we have to remember that slope is the rise divided by the run. In order to find how to find slope of a table, we have to first find the rise from our table and we have to find the run from our table as well. We need to look at when we go from one cell to the next. When go from one cell to the next ten to fifteen fifteen to twenty twenty to twenty five we are adding five each time. The change in our Y value, or the rise, is five.

Then we have to do the same thing for the run or the change in the X column. If we look at our X column we are once again adding 1 each time so, plus one plus one plus one. The Run will be plus one. Our slope will be the rise divided by the run or five divided by one which is of course equal to five. The slope for number two is five.

Here’s the last problem we’re going to show you how to find the slope of a table. Slope is of course equal to the rise divided by the run. In order to find slope you have to first find the rise and you have to also find the run. We already know that the rise is a change in the Y values. In order to find the rise we have to look at our change in Y values. When we go from one Y value to the next in this example 52, this would be minus four to forty eight forty eight to forty four would be minus four and then 40 four to forty would also be minus four. Our rise is minus four.

Then you have to look at the change in the X values to find the run in this case negative six to negative eight we are subtracting two and then negative eight to negative ten. We’re also subtracting two and then negative 10 to negative twelve is also subtracting two. The run is also negative two or minus two. Our slope would be the rise which is negative four divided by the run which is negative two. Now this is not simplified we have to then simplify it. We’re going to take negative 4 divided by negative 2 and when you divide negatives they become positive. The negatives cancel and then 4 divided by 2 is positive 2. Our answer is positive 2.