Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.10 - Lines - 1.10 Exercises - Page 115: 57

Answer

slope = -1 y-intercept = 3 Refer to attached image for the graph.

Work Step by Step

RECALL: (i) The slope-intercept form a line’s equation is $y=mx+b$ where m=slope and $b$=y-intercept. (ii) slope = $\frac{\text{rise}}{\text{run}}$ Write the given equation in slope-intercept form to have: $\\y= -x+3$ This equation has m=-1 and b=3. Thus, the slope of the line is $-1$ and the y-intercept is 3. Plot the y-intercept point (0, 3). The slope is -1 so from (0 , 3), move 1 unit upward then 1 unit to the left to end at (-1, 4). Complete the graph by connecting the two points using a line. (refer to the graph in the answer part)
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