There are several different ways to graph linear equations. You've already learned how to graph using a table of values. That's okay for the beginner, but it can be a little time consuming.
Using slope intercept form is one of the quickest and easiest ways to graph a linear equation.
Before we begin, I need to introduce a little vocabulary. We are going to talk about x and y intercepts.
An x intercept is the point where your line crosses the x-axis. The y intercept is the point where your line crosses the y-axis.
We are only going to focus on the y intercept in this lesson, but you'll need to know x intercept for later.
Let's take a look at intercepts
Slope intercept form is used when your linear equation is written in the form:
x and y are your variables. m will be a numeral, which is your slope. b will also be a numeral and this is the y-intercept.
In this form only (when your equation is written as y = ....) the coefficient of x is the slope and the constant is the y intercept.
Let's look at a few examples and I promise that you'll LOVE this new way of graphing!
Need a little more clarification? No problem, just check out the following video. Example 1 will be explained again step by step.
Let's take a look at one more example.
Notice that the slope in this equation is negative. This means that our line must be "falling" from left to right.
Always double check your line and your slope. If your slope is positive, then your line should "rise" from left to right. If your slope is negative, then your line should "fall" from left to right.
Here's a quick summary of this lesson:
Tip: You have to be very accurate in plotting your points and drawing your lines in order to be able to read your graph to find other solutions!
If you need more practice, click here to try a few practice problems.
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