Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 31: 79

Answer

Therefore the slope is $m=-0.5$ The y-intercept is $2$. The graph is attached below.

Work Step by Step

The slope of the line can be obtained by looking at the coefficient of $x$ in the slope-intercept form$y=mx+b$, where the coefficient of $x$ is the slope. $x+2y=4$ $2y=-x+4$ $y=\frac{-x+4}{2}$ $y=-0.5x+2$ Therefore the slope is $m=-0.5$ At the y-intercept the x-coordinate of the point is $x=0$. Therefore we can calculate the y-coordinate by plugging 0 to $x$ in the equation: $x+2y=4$ $0+2y=4$ $y=2$ The y-intercept is $2$.
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.