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: 72

Answer

x-intercept = $-\frac{5}{2}$ y-intercept = -10

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: $y=-4x-10 \\0=-4x-10 \\4x=-10 \\x=\frac{-10}{4} \\x=-\frac{5}{2}$ The x-intercept point is $(-\frac{5}{2}, 0)$. y-intercept: $y=-4x-10 \\y=-4(0)-10 \\y=0-10 \\y=-10$ The y-intercept point is (0, -10). Plot these points and connect them using a line. (refer to the attached image in the answer part)
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