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Q 1.

Expert-verified

Elementary Algebra

Found in: Page 428

Book edition 2nd

Author(s) Lynn Marecek, MaryAnne Anthony-Smith

Pages 1240 pages

ISBN 9780998625713

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Short Answer

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
ⓐ $(- 4, 2)$ ⓑ $(- 1, - 2)$ ⓒ $(3, - 5)$ ⓓ $(- 3, 5)$ ⓔ $(\frac{5}{3}, 2)$

The quadrant that each point is placed using a rectangular coordinate system below

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

The given equation are (a) $(- 4, 2)$ (b) $(- 1, - 2)$ (c) $(3, - 5)$ (d) $(- 3, 5)$ (e) $(\frac{5}{3}, 2)$

step 2. Identify the quadrant

(a)Since $x = - 4$ ,the point is to the left of the $y -$ axis. Also, since $y = 2$ , the point is above the $x -$ axis. The point is $(- 4, 2)$ in Quadrant II.

(b)Since $x = - 1$ , the point is to the left of the $y -$ axis. Also, since $y = - 2$ , the point is below the $x -$ axis. The point $(- 1, - 2)$ is in Quadrant III.

(c)Since $x = 3$ , the point is to the right of the $y -$ axis. Since $y = - 5$ , the point is below the $x -$ axis. The point $(3, - 5)$ is in Quadrant lV.

(d)Since $x = - 3$ ,the point is to the left of the $x -$ axis. Also, since $y = 5$ , the point is above the $y -$ axis. The point is $(- 3, 5)$ in Quadrant II.

(e)Since $x = \frac{5}{3}$ , the point is to the right of the $y -$ axis. Since $y = 2$ , the point is above the $x -$ axis. It can be seen that the point $(\frac{5}{3}, 2)$ is in Quadrant I.

Step 3. Graph the equation

The quadrant that each point is placed using a rectangular coordinate system

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