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Graphing a Linear Equation
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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.
As you work through these examples, if you find that you are really having difficulty, take a look at the Algebra Class E-course. You will have instant access to more examples on video, a lot of practice problems and step-by step answer keys. It may truly be what you need to be successful with graphing equations.
Let's look at an example:
Slope intercept form is used when your linear equation is written in the form:
y = mx+b
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!
Example 1
Need a little more clarification? No problem, just check out the following video. Example 1 will be explained again step by step.
Example 2
Here's a quick summary of this lesson:
Rules for Graphing Using Slope Intercept Form
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!
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Type in your equation and click "Draw".
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