Linear Functions Flashcards: Slope and Graphing

Question 1

What is a linear function?

Accepted Answer

A function whose outputs change at a constant rate and can be written as $f(x)=mx+b$, where $m$ and $b$ are constants.

Question 2

What is the $y$-intercept of a line, and how do you find it from an equation?

Accepted Answer

The $y$-value when $x=0$. In $y=mx+b$, the $y$-intercept is $b$ (point $(0,b)$).

Question 3

How do you compare two linear functions to decide which grows faster?

Accepted Answer

Compare slopes: the function with the larger slope $m$ increases faster. If slopes are equal, they are parallel (same growth rate) and you compare $y$-intercepts to see which is higher.

Linear Functions Flashcards: Slope and Graphing

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