Question

match the set of points as indicated by the ordered pair with the correct quadrant the points lie i
place the letter of the part of the plane next to the corresponding description listed below:

1. $(x,y)$, where $y = 0$
2. $(x,y)$, where $x < 0,y > 0$
3. $(x,y)$, where $x > 0,y > 0$
4. $(x,y)$, where $x > 0,y < 0$

a. quadrant two
b. quadrant four
c. $x$-axis
d. quadrant one

Explanation:

Step1: Analyze (x, y) where y = 0

Points with \(y = 0\) lie on the \(x\) - axis.

Step2: Analyze (x, y) where \(x\lt0,y\gt0\)

In the coordinate plane, when \(x\) is negative and \(y\) is positive, the points lie in Quadrant Two.

Step3: Analyze (x, y) where \(x\gt0,y\gt0\)

When both \(x\) and \(y\) are positive, the points lie in Quadrant One.

Step4: Analyze (x, y) where \(x\gt0,y\lt0\)

When \(x\) is positive and \(y\) is negative, the points lie in Quadrant Four.

Answer:

1. C. \(x\) - axis
2. A. Quadrant Two
3. D. Quadrant One
4. B. Quadrant Four