Chapter 1.1, Problem 13AYU

In Problems 15 and 16, plot each point in the $xy\text{-plane}$. Tell in which quadrant or on what coordinate axis each point lies.

15. (a) $A=\left(-3,2\right)$

(b) $B=\left(6,0\right)$

(c) $C=\left(-2,-2\right)$

(d) $D=\left(6,5\right)$

(e) $E=\left(0,-3\right)$

(f) $F=\left(6,-3\right)$

To determine

To plot: The points on $xy\text{-plane}$.

Answer to Problem 13AYU

Explanation of Solution

Given:

$\text{A}\left(-\text{3, 2}\right)\text{, B}\left(\text{6, 0}\right)\text{, C}\left(-\text{2, <mo>−</mo>2}\right)\text{, D}\left(\text{6, 5}\right)\text{, E}\left(\text{0, <mo>−</mo>3}\right)\text{, F}\left(\text{6, <mo>−</mo>3}\right)$

To locate the point $\text{A}\left(-3,2\right)$, go 3 units to the left of 0 along the $x\text{-axis}$ (horizontal line) and go 2 units straight up. We plot this point by placing a dot at this location. This point lies in 2nd quadrant.

To locate the point $\text{B}\left(6,0\right)$, go 6 units to the right of 0 and place a dot at this location. This point lies on the positive side of the horizontal axis.

To locate the point $\text{C}\left(-2,-2\right)$, go 2 units to the left of 0 along the $x\text{-axis}$ and go 2 units straight below the $x\text{-axis}$. We plot this point by placing a dot at this location. This point lies in the 3rd quadrant.

To locate the point $\text{D}\left(6,5\right)$, go 6 units to the right of 0 along the $x\text{-axis}$ and go 5 units straight up. We plot this point by playing a dot at this location. This point lies in 1st quadrant.

To locate the point $\text{E}\left(0,-3\right)$, go 3 units straight below 0 and place a dot at this location. This point lies on the $y\text{-axis}$.

To locate the point $\text{F}\left(6,-3\right)$, go 6 units to the right of 0 and 3 units straight down. We plot this point by placing a dot at this location. This point lies in the 4th quadrant.