Question

select the quadrant or axis for each ordered pair. here is a graph to help you visualize!
a) (-4,1) = answer
b) (7,-2) = answer
c) (0,-4) = answer
d) (-5,-6) = answer

Explanation:

Step1: Determine the quadrant rules

• Quadrant I: \(x>0,y>0\)
• Quadrant II: \(x < 0,y>0\)
• Quadrant III: \(x<0,y < 0\)
• Quadrant IV: \(x>0,y < 0\)
• \(x -\)axis: \(y = 0\)
• \(y -\)axis: \(x = 0\)

Step2: Analyze each ordered - pair

• For \(A(-4,1)\): \(x=-4<0,y = 1>0\), so it is in Quadrant II.
• For \(B(7,-2)\): \(x = 7>0,y=-2<0\), so it is in Quadrant IV.
• For \(C(0,-4)\): \(x = 0\), so it is on the \(y -\)axis.
• For \(D(-5,-6)\): \(x=-5<0,y=-6<0\), so it is in Quadrant III.

Answer:

A. Quadrant II
B. Quadrant IV
C. \(y -\)axis
D. Quadrant III