Back to Interpret the equation y = mx + b as defining a linear function — Problem 1 · Task Set 47

8.F.A.3 Tutor Intake -- Linear vs. Nonlinear Functions

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Grade 8·7 problems·~8 min·Common Core Math - Grade 8·container·8-f-a-3

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Concepts

Why does the equation $y = mx + b$ define a function?

Because for any input $x$ , the rule "multiply by $m$ , then add $b$ " produces exactly one output $y$ .

Because $m$ and $b$ are always positive numbers.

Because the equation can be graphed on a coordinate plane.

Because $x$ and $y$ are both variables.