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: 68

Answer

x-intercept = 7 y-intercept = 6

Work Step by Step

RECALL: (i) The x-intercept can be found by setting y=0 then solving for $x$. (ii) The y-intercept can be found by setting x=0 then solving for $y$. Solve for the intercepts to have: x-intercept: $6x-7y-42=0 \\6x-7(0)-42=0 \\6x-42=0 \\6x=42 \\x=7$ The x-intercept point is (7, 0). y-intercept: $6x-7y-42=0 \\6(0)-7y-42=0 \\7y-42=0 \\7y=42 \\y=6$ The y-intercept point is (0, 6). Plot these points and connect them using a line. (refer to the attached image in the answer part)
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