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: 61

Answer

slope = $-\frac{4}{5}$ y-intercept = 2 Refer to the 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: $\\5y= -4x+10 \\y = \frac{-4x+10}{5} \\y = \frac{-4}{5}x+2$ This equation has $m = \frac{-4}{5}$ and b = 2. Thus, the slope of the line is $-\frac{4}{5}$ and the y-intercept is 2. Plot the y-intercept point (0, 2). The slope is $-\frac{4}{5}$ so from (0 , 2), move 4 units upward then 5 units to the left to end at (-5, 6). Complete the graph by connecting the two points using a line. (refer to the answer part for the graph)
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