We first introduce the coordinate plane.
Then we used the distance formula as well as the midpoint formula 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.
We then derived the equation of a circle with center (h,k) and radius r.
We can use this to create equations of circles.
Sometimes we’re given the equation of a circle not in standard form, so we have to put it in that form by completing the square. Twice.
Here are some practice problems for circles.