The Cartesian Plane and Plotting Points

Quick note: To download graph paper, click here.

Today we're going to sketch the graphs of linear equations in two variables, such as y = 2x - 3. We will be doing this in the xy-plane. If you need a review of the xy-plane, please watch the first video below. This video introduces the xy-plane, covers certain vocabulary (axes, quadrants, coordinates, etc.), and reviews plotting points. If you feel confident about these topics, you can skip to the second video, which moves on to sketching lines.

Graphing Linear Equations

Now that you feel comfortable with the xy-plane, you can look at graphing linear equations here:

I have recorded several videos of worked-out example problems, which you can access at the link below. Once you start to get the hang of the problems, try them out before you watch the video to see if you're solving them correctly. And if you're not, compare your steps to those in the video to learn from your mistakes. This is a great opportunity for you to make sure you're doing each step correctly and mastering these skills!

Videos: Graphing Using Tables of Values

Videos: More Graphing Using Tables of Values

Graphing Using the Intercept Method

Next, we'll look at a second graphing method. This one is called the intercept method:

And, of course, here are some example problems using the intercept method:

Videos: Graphing Using the Intercept Method

Finally, remember to complete the homework assignment titled "Graphing Linear Equations" which is available on WebAssign and due this Friday evening at 11:59pm (PT).