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: 52


(a) Refer to the attached image below. (b) $y=-2x+7$

Work Step by Step

(a) To sketch the line, do the following steps: 1. Plot (4, -1). 2. The slope is $\frac{\text{rise}}{\text{run}}$. Since the slope of the line is $-2$, which is negative, from the point (4, -1), move up 2 units then move 1 unit to the left to end at (3, 1). (refer to the attached image) 3. Connect the points to complete the graph of the line. (b) The line has a slope of $\frac{3}{2}$ and, has a y-intercept from the grah in part (a), has a y-intercept of 7.. Thus, the equation of the line is $y=-2x+7$.
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