Linear Functions
Overview
Dig into linear functions. You'll calculate slope as rise over run, write equations in slope-intercept form (y = mx + b), and graph lines and interpret what the slope and intercept mean.
Your progress
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About this unit
How to work through it
- Slope = rise over run; label axes on every graph.
- Slope-intercept form y = mx + b: identify m and b from equations and graphs.
- Parallel lines share slope; perpendicular slopes are negative reciprocals.
- Write equations from graphs and word problems.
- Use graph paper for Topic 2 practice.
You should be able to
- Find slope from graphs and two points.
- Write equations in slope-intercept form.
- Graph lines from equations.
- Interpret slope and y-intercept in context.
Key words
- Slope
- The steepness of a line: rise over run, or change in y over change in x.
- y-intercept
- Where a line crosses the y-axis; the value of y when x = 0.
- Slope-intercept form
- y = mx + b, where m is the slope and b is the y-intercept.
- Rate of change
- How much one quantity changes for each unit change in another.
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