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 114: 18

Answer

See graphs

Work Step by Step

As you can see in both graphs all lines pass through the origin (0,0) a) The yellow line has a slope of 2 because for every 2 units it rises on the y-axis, it runs 1 unit on the x-axis. The red line has a slope of 1 because for every 1 unit it rises on the y-axis, it runs 1 unit on the x-axis. The blue line has a slope of 1/2 because for every 1/2 units it rises on the y-axis, it runs 1 unit on the x-axis. The green line has a slope of 0 because it will never rise on the y-axis and will always run straight on the x-axis. b) The yellow line has a slope of 3 because for every 3 units it rises on the y-axis, it runs 1 unit on the x-axis. The green line has a slope of 1/2 because for every 1/2 units it rises on the y-axis, it runs 1 unit on the x-axis. The red line has a slope of 1/3 because for every 1/3 units it rises on the y-axis, it runs 1 unit on the x-axis. The yellow line has a slope of -1/3 because for every 1/3 units it falls on the y-axis, it runs 1 unit on the x-axis.
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