Question

select the quadrant or axis for each ordered pair. here is a graph to help you visualize!
a) (-3, -1) = answer
b) (-3, 1) = answer
c) (5, 0) = answer
d) (1, -7) = answer

Explanation:

Step1: Determine the quadrant rules

In a coordinate plane, Quadrant I: \(x>0,y>0\); Quadrant II: \(x < 0,y>0\); Quadrant III: \(x<0,y < 0\); Quadrant IV: \(x>0,y < 0\). The \(x -\)axis is \(y = 0\), the \(y-\)axis is \(x = 0\), and the origin is \((0,0)\).

Step2: Analyze each ordered - pair

• For \(A(-3,-1)\): \(x=-3<0\) and \(y = - 1<0\), so it is in Quadrant III.
• For \(B(-3,1)\): \(x=-3<0\) and \(y = 1>0\), so it is in Quadrant II.
• For \(C(5,0)\): \(y = 0\), so it is on the \(x -\)axis.
• For \(D(1,-7)\): \(x = 1>0\) and \(y=-7<0\), so it is in Quadrant IV.

Answer:

A. III, B. II, C. \(x -\)axis, D. IV