Calculus › Section A · Preparing for calculus › Topic A.2
Lines, slope, and rates of change
A straight line is the simplest model of change, and its slope is the simplest rate of change. Everything in calculus grows from that idea, so we make it solid here.
In this topic
- Why lines come first
- Slope: rise over run
- The three forms of a line
- Worked example: an equation from two points
- Sketching a line quickly
- Slope as a rate of change
- Worked example: a population model
- Interpolation, extrapolation and common sense
- Parallel and perpendicular lines
- Worked example: a perpendicular line through a point
- Common mistakes to avoid
- Key takeaways
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Standards: Prerequisite