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: 89

Answer

The slope is $1$. The $y$-intercept is $0$. Refer to the graph 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. Isolate $y$ to obtain: $y-x=0$ $y=x$ Thus, the slope is $1$. By definition, the $y$-intercept can be found as the constant in the slope-intercept form of the equation. For $y=x$ , the constant is $0$, therefore the $y$-intercept is $0$. Plot the point $(0, 0)$. Then using the slope, which is $1$, move $1$ unit to the right and $1$ unit up to reach $(1, 1)$. Connect the two points using a straight line to complete the graph. Refer to the graph above.
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