Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
In plain words: Students read y = mx + b as a linear function whose graph is a straight line, and give examples of functions that are not linear, like A = s².
Quick picks
Example problem- Assign problem on Goblins →Could the table of (x, y) pairs have been generated by a linear function?
x y 0 1 1 2 2 4 3 8 - Common mistake
- Calling a function linear because it keeps rising: for x = 1, 2, 3, 4, y = x² gives 1, 4, 9, 16, which rise by 3, 5, 7, so its graph is not a line.
Example Problems
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Khan Academy ResourcesWriting slope-intercept equationsIntro to slope-intercept formGraphing slope-intercept formGraphing lines from slope-intercept form reviewSlope-intercept form reviewIntercepts from an equationSlope-intercept introSlope-intercept from two pointsGraph from slope-intercept formSlope-intercept equation from graphLinear equations in any formLinear & nonlinear functionsSlope-intercept equation from graphRecognizing linear functionsIntercepts from an equationWorked example: intercepts from an equationGraph from slope-intercept equationConverting to slope-intercept formSlope-intercept equation from slope & pointSlope-intercept equation from two pointsLinear & nonlinear functions: tableIntro to slope-intercept formLinear & nonlinear functions: missing valueSlope-intercept form from a tableLinear & nonlinear functions: word problem
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