A Simple and Free Slope Intercept Form Worksheet

The Quick Answer to: What is Slope Intercept Form?

For our Intro to Slope Intercept Form we need to cover the basics of the form. The reason Slope Intercept Form is so convenient is because it already has the slope and y-intercept built right into the form. That means that it is easy to identify both slope and y-intercept from looking at an equation written in Slope Intercept Form. The general rule for Slope Intercept Form is y = mx+b, where m is the slope and b is the y-intercept.

Common Core Standard: 8.F.A.3

A Concise Slope Intercept Form Definition

How to Identify Slope Intercept Form means that we have to go over the basics. The reason Slope Intercept Form is so helpful is that it has slope and y-intercept incorporated into the form. That implies that it is anything but difficult to recognize both slope and y-intercept by looking at Slope Intercept Form. The general form for Slope Intercept Form is y=mx+b, where m is the slope and b is the y-intercept.

Slope Intercept Form Practice Problems Quiz

Watch the video showing how to complete Slope Intercept Form Examples

Watch our free video on how to solve Slope Intercept Form. This video shows how to solve problems that are on our free 8th Grade Slope Intercept Form worksheet that you can get by submitting your email above.

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

Video Transcript:

This video is about how to write slope intercept form. You can get the identify slope and y intercept worksheet used in this video for free by clicking on the link in the description below.

Here we are the first problem on our slope intercept worksheet. The first problem asks us to identify slope and intercept by asking to identify what M is and what B is. In terms of slope intercept form you have to first know that slope intercept form is written as y equals MX plus B. M is the slope or what represents the slope and B is the y-intercept, B represents the y-intercept.

When you look at our problem for number one on the slope and y intercept worksheet it gives us y equals fifteen X minus nine. If we were to overlay slope intercept form above our problem given to us you will notice that M and B line up with certain things in the equation that was given to us. If you look at the first problem you can tell that M and 15 are located in the same position, that means that the slope for this equation is 15. You also notice that B lines up with 9 so our y-intercept is going to be 9. But you have to be careful with both slope and y-intercept because if they are negative you have to include the negative. If we look back at our problem we have 15 X minus 9. This minus here has to be included anytime you have a negative number so the y intercept is really going to be negative 9.

Moving on a number four on our identify slope and intercept worksheet, our equation is y equals negative 77 minus 18x. We already know that slope intercept form is equal to y equals MX plus B and we know that M is the slope and we know that B is the y-intercept. It’s also important to point out that you can also write slope intercept form as y equals B plus mx and the rules will not change. Y-intercept will still be B and slope will still be representative of the letter m. Just because you rewrite it from y equals MX plus B to y equals B plus MX it doesn’t change what each thing represents. Our B here will still be the y-intercept and then the coefficient on the X will still be the slope.

If we look back at our equation we’re given y equals negative 77 minus 18x. Now this time our equation is written in slope intercept form that has the B first and then the MX after it. The y-intercept comes first and the slope comes after it and the reason I know the slope comes after it is because the slope is always attached to the X. M will always be the coefficient of the X and the y intercept will always be the constant by itself. Now that we know that our equation is written in y equals B plus MX. If you look at the slope, the slope is going to be the negative 18 because it’s the coefficient on the X. And if you look at the y-intercept, the y-intercept is the constant that is not attached to the X which in this case is negative 77.

The second part of our identifying slope and y intercept worksheet gives us the slope and the y-intercept and then we have to write it into the equation in slope intercept form worksheet. We know that slope intercept form is y equals MX plus B or y equals B plus and X but the y intercept will always be the B and the slope will always be represented by the M. It doesn’t matter how you write it you will still use B for y-intercept and M for slope. If we look, we are already given our slope because we know M is slope and we’re already given our y-intercept because we know that B is y-intercept. In order to write our equation out all we have to do is take our slope which in this case is negative seven and plug it in for m. We have negative 7x because we know that M goes with X and then we have our y-intercept of 32. We will just include our plus 32 at the end and that’s going to be the equation.

It’s important to note you could also write it as y equals 32 minus 7x. This would be the B this time and then this would be the M but whatever you do you have to include the negative with the seven because our slope is negative seven. Either way you wanna write it is correct. You can try other practice problems on our free y=mx+b worksheets and the slope intercept form worksheets above.