2.1 The Coordinate Plane

Supplemental Videos

We first introduce the coordinate plane.

Then we used the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ as well as the midpoint formula $M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$ to find the distance and midpoint between two points.

If you need extra distance and midpoint problems, here is a worksheet.

Then we graphed some equations by plotting points.

In particular when graphing, we’re interested in any “interesting” points, for example, when the graph intersects with either the x-axis or y-axis. To do this, we set y=0 and x=0 respectively, and solve for the other variable.