Question

1. identify the ordered pair and quadrant (or axis) for each point on the graph.

point	ordered pair	quadrant
b
c
d
e
f
g
h

(graph with coordinate plane and points a, b, c, d, e, f, g, h plotted)

Explanation:

Step1: Analyze Point A

To find the ordered pair of point A, we count the horizontal (x) and vertical (y) distances from the origin (0,0). Point A is far to the right (positive x) and below the x - axis (negative y). By counting the grid squares, we find that the x - coordinate is 15 (assuming each grid square is 1 unit) and the y - coordinate is -5. So the ordered pair is (15, - 5). For the quadrant, in the coordinate plane, the fourth quadrant has positive x and negative y. So point A is in Quadrant IV.

Step2: Analyze Point B

Point B is to the left of the y - axis (negative x) and above the x - axis (positive y). Counting the grid squares, the x - coordinate is -12 and the y - coordinate is 10. The ordered pair is (-12, 10). The second quadrant has negative x and positive y, so point B is in Quadrant II.

Step3: Analyze Point C

Point C is to the left of the y - axis (negative x) and below the x - axis (negative y)? Wait, no, looking at the graph, point C is below the x - axis? Wait, no, the graph: let's re - check. Wait, point C is below the x - axis? Wait, the y - axis: above is positive, below is negative. Point C: x - coordinate is -5, y - coordinate is -3? Wait, no, looking at the graph, point C is to the left of the y - axis (negative x) and below the x - axis? Wait, no, maybe I made a mistake. Wait, the grid: let's assume each square is 1 unit. Point C: from the origin, moving left 5 units (x=-5) and down 3 units (y = - 3)? Wait, no, the graph shows point C is below the x - axis? Wait, no, the original graph: point C is below the x - axis? Wait, maybe I messed up. Wait, point C: x - coordinate is -5, y - coordinate is -3? Wait, no, let's look again. The point C is below the x - axis? Wait, the y - axis: positive is up, negative is down. So point C: x=-5, y = - 3? Wait, no, maybe the y - coordinate is -3? Wait, no, let's count again. Wait, point C is at x=-5, y=-3? Wait, no, maybe I got the quadrant wrong. Wait, negative x and negative y is Quadrant III. Wait, but let's check the ordered pair. So point C: ( - 5, - 3)? Wait, no, looking at the graph, point C is to the left of the y - axis (x negative) and below the x - axis (y negative)? Wait, no, maybe the y - coordinate is -3? Wait, maybe I made a mistake. Let's re - examine. Point C: from the origin, left 5 units (x=-5) and down 3 units (y=-3). So ordered pair (-5, - 3), Quadrant III.

Step4: Analyze Point D

Point D is on the x - axis (y = 0) and to the right of the origin (x positive). Counting the grid squares, x = 5, y = 0. So ordered pair (5, 0). Since it's on the x - axis, it's not in any quadrant, it's on the x - axis.

Step5: Analyze Point E

Point E is to the left of the y - axis (x negative) and below the x - axis (y negative). Counting the grid squares, x=-10, y=-7. Ordered pair (-10, - 7), Quadrant III.

Step6: Analyze Point F

Point F is to the right of the y - axis (x positive) and above the x - axis (y positive). Counting the grid squares, x = 10, y = 8. Ordered pair (10, 8), Quadrant I (since positive x and positive y).

Step7: Analyze Point G

Point G is on the y - axis (x = 0) and below the x - axis (y negative). So x = 0, y=-6. Ordered pair (0, - 6), on the y - axis.

Step8: Analyze Point H

Point H is to the right of the y - axis (x positive) and above the x - axis (y positive). Counting the grid squares, x = 2, y = 5. Ordered pair (2, 5), Quadrant I.

| Point | Ordered Pair | Quadrant |
|-------|--------------|----------|
| A | (15, -5) | IV |
| B | (-12, 10) | II |
| C | (-5, -3) | III |
| D | (5, 0) | x - axis |
| E | (-10, -7) | III |
| F | (10, 8) | I |
| G | (0, -6) | y - axis |
| H | (2, 5) | I |

Answer:

Point	Ordered Pair	Quadrant
B	(-12, 10)	II
C	(-5, -3)	III
D	(5, 0)	x - axis
E	(-10, -7)	III
F	(10, 8)	I
G	(0, -6)	y - axis
H	(2, 5)	I