Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding - Page 31: 98

Answer

a) The $x$-intercept is $4$. The $y$-intercept is $-6$. b) See the graph below.

Work Step by Step

a) In order to find the $x$-intercept, let $y=0$ and we have to solve the equation. $x-\frac{2}{3}y=4$ $x-\frac{2}{3}(0)=4$ $x=4$ The $x$-intercept is $4$ and the point $(4,0)$ is on the line. In order to find the $y$-intercept, let $x=0$ and we have to solve the equation. $x-\frac{2}{3}y=4$ $0-\frac{2}{3}y=4$ $-\frac{2}{3}y=4$ $y=-6$ The $y$-intercept is $-6$ and the point $(0,-6)$ is on the line. b) In order to sketch the line, we only have to plot the intercepts and connect them using a line.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.