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: 17

Answer

The set of points of the form $(2, y)$ is a vertical line that is $2$ units to the right of the $y$-axis. Refer to the plot below.

Work Step by Step

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