Q. 13 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 13 and 14, plot each point in the xy-plane. Tell in which quadrant or on what coordinate axis each point lies.

$$\begin{gathered} \left(a\right) A(-3,2) \\ \left(b\right) B(6,0) \\ \left(c\right) C(-2,-2) \\ \left(d\right) D(6,5) \\ \left(e\right) E(0,-3) \\ \left(f\right) F(6,-3) \end{gathered}$$

Step-by-Step Solution

Answer

(a) $A(-3,2)$lies in 2nd quadrant and graph will be show as below

(b)  $B(6,0)$lies in positive x-axis and graph will be show as below

(c) $C(-2,-2)$lies in 3rd quadrant and graph will be show as below

(d) $D(6,5)$ lies in 1st quadrant and graph will be show as below

(e) $E(0,-3)$lies on the negtive x-axis and graph will be show as below

(f) $F(6,-3)$lies in 4th quadrant and graph will be show as below

Step 1. Given information

The given points 

$$\begin{gathered} \left(a\right) A(-3,2) \\ \left(b\right) B(6,0) \\ \left(c\right) C(-2,-2) \\ \left(d\right) D(6,5) \\ \left(e\right) E(0,-3) \\ \left(f\right) F(6,-3) \end{gathered}$$

Step 2. Finding which quadrant or on what coordinate axis point A ( - 3 , 2 ) lies

The point $A(-3,2)$ Plotted in the graph are shown below

So,Point $A(-3,2)$lies in the 2nd quadrant

Step 3. Finding which quadrant or on what coordinate axis point B ( 6 , 0 ) lies

The point $B(6,0)$ Plotted in the graph are shown below

So,Point $B(6,0)$ lies on the positive x- axis

Step 4. Finding which quadrant or on what coordinate axis point C ( - 2 , - 2 ) lies

The point $C(-2,-2)$ Plotted in the graph are shown below

So,Point $C(-2,-2)$ lies in 3rd the quadrant

Step 5. Finding which quadrant or on what coordinate axis point D ( 6 , 5 ) lies

The point $D(6,5)$ Plotted in the graph are shown below

So,Point $D(6,5)$ lies in 1st the quadrant

Step 6. Finding which quadrant or on what coordinate axis point E ( 0 , - 3 ) lies

The point $E(0,-3)$ plotted in the graph are shown below

So,Point $E(0,-3)$ lies on the Negtive x- axis

Step 7. Finding which quadrant or on what coordinate axis point F ( 6 , - 3 ) lies

The point $F(6,-3)$ Plotted in the graph are shown below

So,Point $F(6,-3)$ lies in the 4th quadrant