Home

Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test

Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator

Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets
» » Calculating Slope

Calculating Slope
The Key to Graphing Equations

defining slope



What do you think of when you hear the term, slope? Do you think of a skier, skiing down a large mountain?

Or, maybe you think of the sliding board at the playground.

Whatever you are thinking, it's probably something that's on an incline! When we study slope in Algebra we are going to study the incline and other characteristics of a line on a graph.


Slope is a very important concept to understand in Algebra. Therefore, I've created three different lessons to help you gain a full understanding.

We will start here with defining and calculating slope by analyzing a graph. Then we will move on to graphing slope and finally to using slope intercept form to create your graph.

Start here from the beginning, or move onto the concept of slope that you need help with!




What is Slope in Algebra?


Slope is used very often in Mathematics. It can be used to actually find how steep a particular line is, or it can be used to show how much something has changed over time. We calculate slope by using the following definition.

In Algebra, slope is defined as the rise over the run. This is written as a fraction like this:

rise over run


Rules for Calculating the Slope of a Line

  • Find two points on the line.

  • Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator.

  • Count the run (How many units do you count left or right to get to the point?) Record this number as your denominator.

  • Simplify your fraction if possible.


IMPORTANT NOTE:
  • If you count up or right your number is positive.

  • If you count down or left your number is negative.



There are two examples below. You can watch how I calculate the slope in the video lesson, or you can skip the video and check out examples 1 and 2 below.



youtube channel If you want to see the following examples on video, click here to visit my You Tube channel.



Example 1


calculating slope



Let's take a look at another example where the slope is a fraction.



Example 2


calculating slope




Just remember that slope is a fraction: rise/run. Calculate your rise and then your run!

If your rise is downhill it is negative. If your run is to the left it is also negative!

You can choose any two points on the line to calculate your slope! The slope is constant throughout the whole line.



Other Lessons You Might Like on Graphing Equations


Like This Page?



Comments

We would love to hear what you have to say about this page!


Top of the Page

Follow Algebra-Class




Recommend Algebra Class




Algebra Class E-course Members

Username:
Password:

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Search This Site

Custom Search

Having Trouble with Your Homework?

algebrator


Algebra Class Courses

algebra ecourse

pre algebra ecourse


Algebra Class
Most Popular Pages

algebra practice test

algebra cheat sheets

algebra formulas


What People Are Saying...


"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.

It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"

Jimmy - United States



"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"

Tom - United States



"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"

Elizabeth - United States



"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."

Noel - South Africa



This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.

Reg - United States


Helpful Resources

Pre-Algebra

Algebra

More Algebra Resources




?

Subscribe To This Site

XML RSS
Add to Google
Add to My Yahoo!
Add to My MSN
Add to Newsgator
Subscribe with Bloglines


Enjoy This Site?
Then why not use the button below, to add us to your favorite bookmarking service?

Connect and Follow Algebra Class



Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED