Precalculus (10th Edition)

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

Chapter 1 - Graphs - 1.1 The Distance and Midpoint Formulas - 1.1 Assess Your Understanding - Page 7: 18

Answer

The set of points of the form $(x, 3)$ is a horizontal line, $3$ units above $x$-axis. Refer to the plot below.

Work Step by Step

To locate the point $(0, 3)$, from the origin, go $3$ units straight above $0$ and place a dot at this location. To locate the point $(1, 3)$, from the origin, go $1$ unit to the right of $0$ along the $x$-axis and go $3$ units straight up. We plot the point by placing a dot at this location. To locate the point $(−2, 3)$, from the origin, go $2$ units to the left of $0$ along the $x$-axis and go $3$ units straight up. We plot the point by placing a dot at this location. To locate the point $(5, 3)$, from the origin, go $5$ units to the right of $0$ along the $x$-axis and go $3$ units straight up. We plot the point by placing a dot at this location. To locate the point $(−4, 3)$, from the origin, go $4$ units to the left of $0$ along the $x$-axis and go $3$ units straight up. We plot the point by placing a dot at this location. The points are on a horizontal line, 3 units above x-axis.
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