Q. 14 - 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.

$$\begin{gathered} \left(a\right) A=(1,4) \\ \left(b\right) B=(-3,-4) \\ \left(c\right) C=(-3,4) \\ \left(d\right) D=(4,1) \\ \left(e\right) E=(0,1) \\ \left(f\right) F=(-3,0) \end{gathered}$$

Step-by-Step Solution

Answer

(a)  $A(1,4)$ lies in 1st coordinate and graph is shown below

(b) $B(-3,-4)$lies in 3rd quadrant and graph will be show as below

(c)  $C(-3,4)$ lies in 2nd quadrant and graph will be show as below

(d)  $D(4,1)$ lies in 1st quadrant and graph will be show as below

(e)  $E(0,1)$lies on the positive y-axis and graph will be show as below

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

Step 1. Given information

The given points are

$$\begin{gathered} \left(a\right) A=(1,4) \\ \left(b\right) B=(-3,-4) \\ \left(c\right) C=(-3,4) \\ \left(d\right) D=(4,1) \\ \left(e\right) E=(0,1) \\ \left(f\right) F=(-3,0) \end{gathered}$$

Step 2. Finding which quadrant or on what coordinate axis point A = ( 1 , 4 ) lies.

The point $(1,4)$Plotted in the graph are shown below

So,Point $A(1,4)$lies in 1st quadrant

Step 3. Finding which quadrant or on what coordinate axis point B ( - 3 , - 4 ) lies

The point $B(-3,-4)$Plotted in the graph are shown below

So,Point $B(-3,-4)$ lies in 3rd quadrant

Step 4. Finding which quadrant or on what coordinate axis point C ( - 3 , 4 )   lies

The point $C(-3,4)$ Plotted in the graph are shown below

So,Point $C=(-3,4)$ lies in 1st quadrant

Step 5. Finding which quadrant or on what coordinate axis point D ( 4 , 1 ) lies

The point $D(4,1)$ Plotted in the graph are shown below

So, $D(4,1)$ lies in 1st quadrant

Step 6. Finding which quadrant or on what coordinate axis point E ( 0 , 1 ) lies

The point $E(0,1)$ Plotted in the graph are shown below

So,$E(0,1)$ lies on the positive y-axis

Step 7. Finding which quadrant or on what coordinate axis point F ( - 3 , 0 ) lies

The point $F(-3,0)$ plotted in the graph and show as below

So, $F(-3,0)$ lies on negtive x-axis