Question

1. plot and label the following points on the coordinate grid. each grid mark represents 1 unit. next to each ordered pair, write which quadrant you need to place the point in. quadrant: a. (-4,6) b. (-8,0) c. (0,-8) d. (-3,-8) e. (-2,5) f. (5,-8) g. (2,2) h. (0,8) i. (-9,-3)

Explanation:

Step1: Recall the quadrant rules

Quadrant I: \(x>0,y>0\); Quadrant II: \(x < 0,y>0\); Quadrant III: \(x<0,y < 0\); Quadrant IV: \(x>0,y < 0\). Points on the axes are not in any quadrant.

Step2: Analyze each point

• For \(A(-4,6)\): \(x=-4<0,y = 6>0\), so it is in Quadrant II.
• For \(B(-8,0)\): \(y = 0\), it is on the \(x -\)axis.
• For \(C(0,-8)\): \(x = 0\), it is on the \(y -\)axis.
• For \(D(-3,-8)\): \(x=-3<0,y=-8<0\), so it is in Quadrant III.
• For \(E(-2,5)\): \(x=-2<0,y = 5>0\), so it is in Quadrant II.
• For \(F(5,-8)\): \(x = 5>0,y=-8<0\), so it is in Quadrant IV.
• For \(G(2,2)\): \(x=2>0,y = 2>0\), so it is in Quadrant I.
• For \(H(0,8)\): \(x = 0\), it is on the \(y -\)axis.
• For \(I(-9,-3)\): \(x=-9<0,y=-3<0\), so it is in Quadrant III.

Answer:

A. Quadrant II
B. \(x -\)axis
C. \(y -\)axis
D. Quadrant III
E. Quadrant II
F. Quadrant IV
G. Quadrant I
H. \(y -\)axis
I. Quadrant III