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Here is the Best Method for Graphing Slope Intercept Form

Get the free Graphing Slope Intercept Form worksheet and other resources for teaching & understanding solving Graphing Slope Intercept Form

A Quick Description of how to Graph Slope Intercept Form

Graphing in Slope Intercept Form is the easiest way to graph linear equations. Graphing in Slope Intercept Form is convenient because Slope Intercept Form already has the slope and y-intercept built into the form which means you just have to know how to use them. The first thing you do when solving how to Graph in Slope Intercept Form is to plot the y-intercept of the equation. The y-intercept is where the equation crosses the y-axis. Next, you use the slope to plot the next point on the line. If the slope is positive, then your line will be increasing from left to right. If the slope is negative, then your line will be decreasing from left to right.

Common Core Standard: 8.F.C.3

Here’s an Example of a Slope Intercept Form Graph

So how to graph y=mx+b anyway? Well, when answering what is Slope Intercept Form you must know that it is the most straightforward approach to graphing linear equations. When making a Graph for Slope Intercept Form is advantageous because Slope Intercept Form has the slope and y-intercept incorporated with the equation which implies you simply need to realize how to utilize them. Y intercept formula includes both slope and y intercept. The first thing you do when finding how to Graph Slope Intercept Form is to plot the y-intercept of the equation. The y-intercept is the place the equation crosses the y-axis. Next, you utilize the slope to plot the next points. If the slope is positive, your line will increase from left to right. If the slope is negative, your line will decrease from left to right.

5 Easy Steps for how to Graph a Negative Slope or a Positive Slope

1. Find the slope and y-intercept by looking at the equation of the line.
2. Plot the y-intercept on the y-axis. Use the slope to find the next points by using the rise and the run.
3. If the Numerator is positive then the line will go up and have a positive slope.
4. If the numerator is negative then the line will go down and have a negative slope.
5. The denominator tells you how many times you move to the right each time.

Graphing Slope Intercept Form Video

Watch our free video on how to do Slope Intercept Form. This video shows how to solve problems that are on our free Graph Slope Intercept Form worksheet that you can get by submitting your email above.

Watch the free video on YouTube here: Graphing Slope Intercept Form

Video Transcript:

This video is about how to graph slope intercept form. You can get the graphing slope-intercept form worksheet used in this video for free by clicking on the link in the description below.

This video is about graphing slope intercept form. This means that all of our equations are written in y=mx+b form, where m is the slope and b is the y-intercept. We will explain how to graph using slope intercept form, how to graph a slope, and how to graph slope and y intercept. If we look at our equation we already know the slope and we already know the y-intercept. In order to identify them you only have to look at the location of the terms in the equation. We know that slope has to be attached to the X, it’s the coefficient of the X. We know that our slope is going to be this negative 2. Our M is negative 2 and then we also know that the y-intercept is the constant at the end or the beginning of the equation. In this case it’s at the end. We know our B is also negative 2.

Now you will remember that slope is equal to the rise divided by the run. Our slope is negative 2 and in order to understand the rise over the run you have to remember that all whole numbers are written over 1. All whole numbers really have this one under them even though we don’t always write it. In terms of slope, if the slope is negative 2 that means this top part is our rise and this bottom part is the run because we know that the slope is the rise divided by the run. In the case of this example, like I said our rise is negative 2 and our run is 1. What this means is when we move from one point to the next we’re going to go down 2 because it’s negative and then right 1 because this one is positive.

Starting with number 1 on the graph slope-intercept form worksheet, when we graph our line we’re going to start at our intercept now the y-intercept is negative two and that’s where it crosses the y axis. We’re going to put our first point right here at negative two  we’ll go to the origin and then we’ll go down to negative two and that will be our y intercept. Now in order to find the next point we know that the slope is also negative two, and what that means is we will go down 2 and over 1 each time we move. We’ll start at this point we’re going to go down 2 spaces. Here’s one space and then here’s two spaces and then over one. We’ll go over to here right here and that’s going to be our next point right there, then we’re going to repeat.  We’ll go down two and then over one and our next point will be right here and so on. In order to get our line all we have to do is connect the points. We’re going to start up here and we will go down and connect all these points together and this is going to be the graph of our equation.

Moving on to the second problem for graphing slope intercept form our equation is y equals one-half X minus five. We know that our equation is already written in slope intercept form which is y equals MX plus B and we know that M is the slope and we know that B is the y-intercept. In order to graph this we need to first identify the slope and also we have to identify the y-intercept. Slope will be the coefficient on the X, in this case our slope is 1/4 because that’s the coefficient on the X. We know that M is 1/4 and then our y-intercept will be the constant that is not attached to the X, in this case it’s negative 5. Our y-intercept will be negative 5 now we know that slope is the rise divided by the run. We already have our slope which was ¼. We know that 1 is the rise and we know that 4 is the run one is positive so we will go up 1 because that’s the rise and then the run is positive 4 which means it will move to the right 4.

In order to graph this we will start at our y-intercept. Y-intercept right here is negative 5 so we will go to the y-axis and we will go down to negative 5 which is right here. Then we’re going to use our slope to find the next point. Our slope tells us we go up one and over 4 to get to the next point. We will start at our y-intercept and we will go up 1 and then over 4 and that’s going to be our next point right here. Then we’re going to do it again we will go up 1 and then over 4 again and that’s going to be our next point. Then in order to graph our equation you just connect the dots. We go here connecting the dots and then you can sort of go in this direction as well and that’s going to be the graph of this equation in slope intercept form. Try all the practice problems by downloading the free graphing from slope intercept form worksheet above.

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