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

Starting from the upper - right quadrant (where \(x>0\) and \(y > 0\)) and moving counter - clockwise:

• 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. The upper - right quadrant is Quadrant I, upper - left is Quadrant II, lower - left is Quadrant III, and lower - right is Quadrant IV.
c. Quadrant I: \(x>0,y>0\); Quadrant II: \(x<0,y>0\); Quadrant III: \(x<0,y<0\); Quadrant IV: \(x>0,y<0\)