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Summary: Review

Key Concepts

• A linear function can be graphed by making a table of inputs and outputs then plotting them as points on a coordinate plane, then drawing a line between them.
• The slope of the graph of a linear function can be calculated given any two ordered pairs $\left(x, f(x)\right)$.
• The slope of the graph of a linear function by examining whether the function values rise, fall, or remain constant as the function input increases.
• The units for the rate of change are given in a ratio of input units over output units.
• The slope of the graph of a linear function represents the rate of change in the function values over a given change in input.

Glossary

average rate of change
the slope of a line between two points on the graph of a function, calculated via a ratio of the change in function output over the corresponding change in function input
ordered pair
a coordinate pair of input and output, $\left(x, f(x)\right)$
slope
a measurement of the steepness of a line graphed in the plane.
slope-intercept form
$y=mx+b$