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: 83

Answer

The slope is $m=-1$. The $y$-intercept is $1$ The graph is attached below.

Work Step by Step

Isolate $y$ to obtain: $x+y=1$ $y=-x+1$ In a line's equation in slope-intercept form, which is $y=mx+b$, the constant $b$ is the $y$-intercept while the coefficient of $x$, which is $m$, is the slope. Thus, in $y=-x+1$ we have: $y$-intercept is $1$ slope=$m=-1$. Plot the point $(0, 1)$. The slope is $-1$ so from $(0, 1)$, move $1$ unit to the right and $1$ unit downward to have $(1, 0)$. Connect the points using a straight line.
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