Accurately graphing slope is the key to graphing linear equations. In the previous lesson, Calculating Slope, you learned how to calculate the slope of a line.
In this lesson, you are going to graph a line, given the slope.
We are still going to use the definition of slope, which is:
Instead of counting the rise and run until you reach the next point, you are going to count the rise and run to plot the next point. You must have at least two points to draw a line.
Let's take a look at the directions and an example.
The trickiest part about graphing slope is knowing which way to rise and run if the slope is negative!
If the slope is negative, then only one - either the numerator or denominator is negative (NOT Both!) Remember your rules for dividing integers? If the signs are different then the answer is negative!
If the slope is negative you can plot your next point by going down and right OR up and left.
If the slope is positive you can plot your next point by going up and right OR down and left.
Example 1 shows how to graph a line with a slope of 2/3.
Example 2 shows how to graph a line with a slope of -3.
But, what do we do when the slope doesn't have a denominator? Can we write -3 as a fraction?
Yes.. we can make any integer a fraction by dividing by 1. So, -3/1 is the fraction used to graph slope.
Take a look at the following video if you need this concept explained further.
Let's take a look at a few notes that will help you make sure your graphs are correct when graphing linear equations.
Remember these tips about graphing slope because as you start to graph equations, you will be able to check your work to make sure that your graph is correct!
Now that you know how to graph slope, you are ready to move onto using Slope Intercept Form to graph your equations.
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