Q. 3.2 - Intermediate Algebra

Question

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 

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

Step-by-Step Solution

Answer

The required graph is 

And the coordinates $(-4,1), (-2,3),(-2,5),(-3,\frac{5}{2})$lies in 2nd Quadrant and $(2,-5)$ lies in 4th Quadrant.

Step 1. Given Information

We are given the coordinates $(-4,1), (-2,3),(2,-5),(-2,5),(-3,\frac{5}{2})$

Step 2. Graph

We will use the desmos graph calculator to plot the given coordinates in the rectangular system as follows, 

Explanation

Consider the coordinates $(-4,1), (-2,3),(-2,5),(-3,\frac{5}{2})$, we can see that the $x$ coordinate is negative and $y$ coordinate is positive which implies that the coordinates lies in 2nd Quadrant.

Next, we will consider the coordinate $(2,-5)$ we can see that the $x$ coordinate is positive and $y$ coordinate is negative implies that the coordinate lies in 4th Quadrant.