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: 71

Answer

x--intercept = $-\dfrac{2}{3}$ y-intercept = $4$ Refer to the image below for the graph.
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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 $b=4$ Thus, the y-intercept of the line is $4$ To find the $x$ intercept, set $y=0$ then solve for $x$ to obtain: $y=6x+4 \\0=6x+4 \\0-4=6x \\-4=6x \\\dfrac{-4}{6} = \dfrac{6x}{6} \\-\dfrac{2}{3}=x$ The x-intercept is $-\dfrac{2}{3} \approx -0.67$. To draw the graph of the equation, plot the x-intercept point $(-\dfrac{2}{3}, 0)$ and the y-intercept point $(0, 4)$ and connect them using a straight line. (refer to the attached image in the answer part above)
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