Question

In the following exercises, plot each point in a rectangular coordinate system

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

Short answer

The points are plotted as

Step-by-step solution

Step 1. Given Information

Points to be plotted are

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

Part a. Step 1. Plot point -1,-5

First, locate -1 on the x-axis and lightly sketch a vertical line through $x=-1$Then, locate -5 on the y-axis and sketch a horizontal line through $y=-5$Now, find the point where these two lines meet—that is the point with coordinates $\left(-1,-5\right)$

Part (b) Step 1. Plot point -3,4

First, locate -3 on the x-axis and lightly sketch a vertical line through $x=-3$Then, locate 4 on the y-axis and sketch a horizontal line through $y=4$Now, find the point where these two lines meet—that is the point with coordinates $\left(-3,4\right)$

Part (c)  Step 1. Plot point 2,-3

First, locate 2 on the x-axis and lightly sketch a vertical line through $x=2$,Then, locate -3 on the y-axis and sketch a horizontal line through $y=-3$Now, find the point where these two lines meet—that is the point with coordinates $\left(2,-3\right)$

Part (d. Step 1. Plot point 1,52

First, locate 1 on the x-axis and lightly sketch a vertical line through $x=1$,Then, locate 2.5 on the y-axis and sketch a horizontal line through $y=2.5$Now, find the point where these two lines meet—that is the point with coordinates $\left(1,\frac{5}{2}\right)$