Suggested languages for you:

Americas

Europe

Q 1.

Expert-verified
Found in: Page 428

Elementary Algebra

Book edition 2nd
Author(s) Lynn Marecek, MaryAnne Anthony-Smith
Pages 1240 pages
ISBN 9780998625713

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

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

See the step by step solution

Step 1. Given information

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

(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 $\left(-4,2\right)$ 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 $\left(-1,-2\right)$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 $\left(3,-5\right)$ 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 $\left(-3,5\right)$ 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 $\left(\frac{5}{3},2\right)$ is in Quadrant I.

Step 3. Graph the equation

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