There might be a question on the GED math test that gives you two point coordinates and/or a line on a coordinate plane and asks you to provide the slope of the line. The formula for finding the slope is provided for you in the formula sheet:
This might look more complicated than it really is. All you have to do is count the up and down difference between the two points, and the left and right difference between the two points. Then divide that first number you got by that second number. If the slope is going up from left to right then the slope is positive, if down, negative.
Let’s look at an example.
What is the slope of the line on this graph?
First count how many spaces are between the two points vertically (up and down), then the spaces horizontally (left and right).
So the change in y is 4 and the change in x is 3. Now you divide the y change by the x change.
So the slope is one and a third. We know that this should not be a negative number since the line is going up from left to right rather than down. If it were going down then the slope would be
If there is a totally flat line:
then the slope is zero.
If there is a line that goes straight up and down:
then there is no slope.
Finding the Slope by Counting
Depending on your learning style, it might be easier and save you time to find the slope of a line just by counting and remembering that slope is “rise over run”. This is demonstrated in the video below.