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2.2 Handout

# 2.2 Handout - Section 2.2 Graphing Linear Functions A...

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Graphing Linear Functions A linear function is one in which the highest power of x is 1. Examples: y = 2 x + 3 and f ( x ) = 7 x + 5 There are several ways to graph a line – one is usually easier than another depending on the equation. Method 1: Use a table of values. Pick a few “nice” x -values and plug-n-chug to find the y -values. Create a table of values. [Can also get table values from calculator.] Graph: 3 4 y x = - Plot the points and draw the line that passes through them. Method 2: Use the slope and the y -intercept (from y mx b = + ). m is the slope and represents rise up/down run right = b is the y -intercept (where it crosses the y -axis) Graph: 7 3 5 y x = - onesans : Plot the y -intercept. twosans : From the y -intercept, rise 7 and run 5 to plot a second point. threesans : Draw the line that passes through the points. To use this method, the equation must be written in the form y = _____. If the slope is negative, fall then run (always run to the right to avoid confusion).

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