Question

name the ordered pair for each point graphed at the right. then identify the quadrant in which each point lies. 1. a 2. b 3. c 4. d 5. e 6. f 7. g 8. h 9. i 10. j graph and label each point on the coordinate plane.

Explanation:

Step1: Recall coordinate - plane rules

In a coordinate - plane, an ordered pair is of the form $(x,y)$, where $x$ is the horizontal (abscissa) and $y$ is the vertical (ordinate) distance from the origin. Quadrant I: $x>0,y > 0$; Quadrant II: $x<0,y>0$; Quadrant III: $x<0,y < 0$; Quadrant IV: $x>0,y<0$.

Step2: Analyze point A

For point A, moving horizontally 1 unit to the left of the origin ($x=-1$) and vertically 1 unit up ($y = 1$). So the ordered pair is $(-1,1)$ and it lies in Quadrant II.

Step3: Analyze point B

For point B, moving 4 units to the right of the origin ($x = 4$) and 3 units up ($y=3$). So the ordered pair is $(4,3)$ and it lies in Quadrant I.

Step4: Analyze point C

For point C, moving 5 units to the left of the origin ($x=-5$) and 3 units down ($y = - 3$). So the ordered pair is $(-5,-3)$ and it lies in Quadrant III.

Step5: Analyze point D

For point D, moving 3 units to the right of the origin ($x = 3$) and 2 units down ($y=-2$). So the ordered pair is $(3,-2)$ and it lies in Quadrant IV.

Step6: Analyze point E

For point E, moving 1 unit to the right of the origin ($x = 1$) and on the x - axis ($y = 0$). So the ordered pair is $(1,0)$ and it lies on the positive x - axis (not in any quadrant).

Step7: Analyze point F

For point F, moving 5 units to the left of the origin ($x=-5$) and on the x - axis ($y = 0$). So the ordered pair is $(-5,0)$ and it lies on the negative x - axis (not in any quadrant).

Step8: Analyze point G

For point G, moving 1 unit to the right of the origin ($x = 1$) and 4 units down ($y=-4$). So the ordered pair is $(1,-4)$ and it lies in Quadrant IV.

Step9: Analyze point H

For point H, moving 2 units to the left of the origin ($x=-2$) and 2 units down ($y=-2$). So the ordered pair is $(-2,-2)$ and it lies in Quadrant III.

Step10: Analyze point I

For point I, moving 0 units horizontally ($x = 0$) and 4 units up ($y = 4$). So the ordered pair is $(0,4)$ and it lies on the positive y - axis (not in any quadrant).

Step11: Analyze point J

For point J, moving 4 units to the right of the origin ($x = 4$) and 4 units down ($y=-4$). So the ordered pair is $(4,-4)$ and it lies in Quadrant IV.

Answer:

1. A: $(-1,1)$, Quadrant II
2. B: $(4,3)$, Quadrant I
3. C: $(-5,-3)$, Quadrant III
4. D: $(3,-2)$, Quadrant IV
5. E: $(1,0)$, Positive x - axis
6. F: $(-5,0)$, Negative x - axis
7. G: $(1,-4)$, Quadrant IV
8. H: $(-2,-2)$, Quadrant III
9. I: $(0,4)$, Positive y - axis
10. J: $(4,-4)$, Quadrant IV