Why this chapter matters
Linear functions are the first major function family and a foundation for comparing rates, reading trends, and choosing useful models.
What you will learn
- Calculate and interpret slope as a rate of change.
- Graph a line from an equation, table, or two points.
- Write equations in slope-intercept and point-slope forms.
Lessons in this chapter
- Graphing linear functionsPlot lines from equations and tables. Read the full guide →
- Slope and rate of changeCalculate rise over run and interpret units.
- Slope-intercept formUse y = mx + b to identify rate and starting value. Read the full guide →
- Writing a line from dataBuild a linear equation from points or a real situation.
Study task
Compare two taxi plans by writing and graphing each fare equation. Identify where the plans cost the same.
Chapter checkpoint
What are the slope and y-intercept of y = -3x + 5?
The slope is -3 and the y-intercept is 5, so the line passes through (0, 5).