Precalculus (6th Edition)

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

Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises - Page 243: 35


slope = $3$ y-intercept: $(0, -1)$ Refer to the graph below.

Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. Thus, the equation $y=3x-1$ has a slope of $3$ and a y-intercept of $(0, -1)$. To graph the equation, perform the following steps: (1) Plot the y-intercept $(0, -1)$. (2) Use the slope to plot a second point. Since the slope of $3$, from $(0, -1)$, move 3 units up (the rise) and 1 unit to the right (the run) to reach the point $(1, 2)$. Plot $(1. 2)$. (3) Connect the points using a straight line. (Refer to the graph in the answer part above)
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