Plane Analytic Geometry
This section reviews the most common 2 dimensional curves:
You need to be familiar with the equation for each. Later in the course, you’ll need to be able to generate, for example, the equation for a circle as a step in solving a more complex problem.
You should be familiar with the standard form of the equation for the straight line:
y = mx + b
where m is the slope of the line and b is the y-intercept (where the line crosses the y axis).
Here is the equation y = 3x + 2:
Note that the slope is positive, +3, moving upward. It crosses the y axis at y = 2.
Look at the curve below. What is its slope?
The slope is 2.
What is its y-intercept?
The y-intercept is -1.