College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises - Page 113: 72


x-intercept = $-2.5$ y-intercept = $-10$ Refer to the image below for the graph.

Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept. The given equation is in slope-intercept form with $b=-10$ Thus, the y-intercept of the line is $-10$. To find the $x$ intercept, set $y=0$ then solve for $x$ to obtain: $y=-4x-10 \\0=-4x-10 \\0+10=-4x-10+10 \\10=-4x \\\dfrac{10}{-4} = \dfrac{-4x}{-4} \\-2.5=x$ The x-intercept is $-2.5$. To draw the graph of the equation, plot the x-intercept point $(-2.5, 0)$ and the y-intercept point $(0, -10)$ and connect them using a straight line. (refer to the attached image in the answer part above)
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