Question

1. use the coordinate plane below to answer questions a, b, and c below.

a. label the x - axis and y - axis on the coordinate plane above
b. label each of the four quadrants on the coordinate plane above.
c. label the properties of x and y for each quadrant

Explanation:

Step1: Label the axes

The horizontal axis is the \(x -\)axis and the vertical axis is the \(y -\)axis.

Step2: Label the quadrants

Quadrant I: \(x>0,y > 0\); Quadrant II: \(x<0,y>0\); Quadrant III: \(x < 0,y<0\); Quadrant IV: \(x>0,y < 0\)

Step3: Label the properties

Quadrant I: \(x\) is positive, \(y\) is positive; Quadrant II: \(x\) is negative, \(y\) is positive; Quadrant III: \(x\) is negative, \(y\) is negative; Quadrant IV: \(x\) is positive, \(y\) is negative

Answer:

a. The horizontal axis is labeled as \(x -\)axis and the vertical axis is labeled as \(y -\)axis.
b. Quadrant I (upper - right), Quadrant II (upper - left), Quadrant III (lower - left), Quadrant IV (lower - right)
c. Quadrant I: \(x>0,y>0\); Quadrant II: \(x < 0,y>0\); Quadrant III: \(x<0,y < 0\); Quadrant IV: \(x>0,y < 0\)