Download Linear Functions Math Activities
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Definition
A linear function is a function that creates a straight line when graphed. It has the general form:
where:
- m is the slope, representing the rate of change,
- b is the y-intercept, the point where the line crosses the y-axis,
- x is the independent variable.
A linear function has constant rate of change, meaning the difference in outputs is the same for equal changes in input.
Summary
Forms of Linear Functions
Graphing Linear Functions
- The graph is a straight line.
- The slope determines the steepness and direction (positive = upward, negative = downward).
- The y-intercept shows where the line crosses the y-axis.
- Can also find the x-intercept by setting y = 0.
Interpreting Slope and Intercept
- In real-world contexts, the slope often represents a rate (e.g., speed, cost per item), and the y-intercept represents a starting value.
Applications
- Modeling relationships with constant change:
- Cost vs. quantity
- Distance vs. time
- Income vs. hours worked
- Used in algebra, data analysis, and economics.
Comparisons to Nonlinear Functions
- Linear functions have constant slope, while nonlinear functions (like quadratic or exponential) have changing slopes.
- Their graphs are straight lines, unlike curves of quadratic or exponential graphs.
Linear Functions Math Activities
This is a fantastic bundle which includes 10 activities with answer guides about Linear Functions. All our worksheets are completely editable so can be tailored for your curriculum and target audience.
Resource Examples
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Worksheets Activities Included
- Slope Hunt
- Equation Builder
- Intercept Match‑Up
- Graph the Line
- Table Talk
- Real‑World Line Models
- Parallel vs Perpendicular
- Two‑Point Builder
- Function Notation Lab
- Feature Finder