Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 228: 35

Answer

Refer to the graph below.
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Work Step by Step

RECALL: The equation $y=mx+b$ has a slope of $m$ and a y-intercept of $(0, b)$. Thus, the equation $y=3x+4$ has a y-intercept of $(0, 4)$. To find the -intercept, set $y=0$ then solve for $x$ to obtain: $y=3x+4 \\0=3x+4 \\0-4=3x \\-4=3x \\\frac{-4}{3}=\frac{3x}{3} \\\frac{-4}{3}=x$ The x-intercept is $(-\frac{4}{3}, 0)$. Use a graphing calculator to plot the intercepts and connect a them using a line. (Refer to the graph in the answer part above.)
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