Identify linear functions from graphs and equations
Distinguish linear functions by constant rate of change and straight-line graphs.
Do this: Read the concept below, then try the quiz or activity.
Lesson 51 of 192
26%
Concept
Linear functions have the form y = mx + b and graph as straight lines with constant slope.
Try it
Decide whether y = 4x - 7 and y = x² + 1 are linear, then justify.
📈 Coordinate Grapher
Switch function types and observe when the graph remains linear.
y = y = 1x
Common Misconception
Always verify your result in context instead of trusting a first pass.
Linear identification checklist
These steps are out of order — can you fix them?
1.Conclude linear/nonlinear
2.Verify equation is y = mx + b
3.Check if slope is constant
4.Check graph shape
Short Answer
Name one sign that a relation is not linear.
Mastery Check
Pass this check with at least 80% to unlock completion.
Pass the mastery check (80%+) to unlock completion.