Question

the coordinate plane
list each point and the quadrant/axis
point quadrant
a
b
c
d
e
f
g
h
i
j
plot the points and list the quadrant/axis
point quadrant
k (4, -2)
l (2,0)
m (9, -5)
n (-4,7)
o (-4, -8)
p (0, -6)
q (5,4)
r (-7,2)
s (-3, -2)
t (8,10)
(0,0)
origin
y - axis
x - axis
a
b
c
d
e
f
g
h
i
j
√ start at (0,0).
√ move left or right first.
√ move up or down ↓ next.

Explanation:

Step1: Recall quadrant rules

In the coordinate - plane, points with $(x>0,y>0)$ are in Quadrant I, $(x < 0,y>0)$ in Quadrant II, $(x < 0,y < 0)$ in Quadrant III, and $(x>0,y < 0)$ in Quadrant IV. Points on the $x$ - axis have $y = 0$ and points on the $y$ - axis have $x = 0$.

Step2: Analyze point K (4, - 2)

Since $x = 4>0$ and $y=-2 < 0$, it is in Quadrant IV.

Step3: Analyze point L (2,0)

Since $y = 0$, it is on the $x$ - axis.

Step4: Analyze point M (9, - 5)

Since $x = 9>0$ and $y=-5 < 0$, it is in Quadrant IV.

Step5: Analyze point N (-4,7)

Since $x=-4 < 0$ and $y = 7>0$, it is in Quadrant II.

Step6: Analyze point O (-4, - 8)

Since $x=-4 < 0$ and $y=-8 < 0$, it is in Quadrant III.

Step7: Analyze point P (0, - 6)

Since $x = 0$, it is on the $y$ - axis.

Step8: Analyze point Q (5,4)

Since $x = 5>0$ and $y = 4>0$, it is in Quadrant I.

Step9: Analyze point R (-7,2)

Since $x=-7 < 0$ and $y = 2>0$, it is in Quadrant II.

Step10: Analyze point S (-3, - 2)

Since $x=-3 < 0$ and $y=-2 < 0$, it is in Quadrant III.

Step11: Analyze point T (8,10)

Since $x = 8>0$ and $y = 10>0$, it is in Quadrant I.

For the points A - J on the left - hand side, we need to identify them on the graph first:

• Point A: Since it is on the negative $x$ - axis, it is on the $x$ - axis.
• Point B: Since $x>0$ and $y>0$, it is in Quadrant I.
• Point C: Since $x>0$ and $y>0$, it is in Quadrant I.
• Point D: Since $x>0$ and $y>0$, it is in Quadrant I.
• Point E: Since $x<0$ and $y>0$, it is in Quadrant II.
• Point F: Since $x<0$ and $y<0$, it is in Quadrant III.
• Point G: Since $x>0$ and $y>0$, it is in Quadrant I.
• Point H: Since $x>0$ and $y<0$, it is in Quadrant IV.
• Point I: Since $x<0$ and $y>0$, it is in Quadrant II.
• Point J: Since $x<0$ and $y<0$, it is in Quadrant III.

Answer:

Point	Quadrant
B	Quadrant I
C	Quadrant I
D	Quadrant I
E	Quadrant II
F	Quadrant III
G	Quadrant I
H	Quadrant IV
I	Quadrant II
J	Quadrant III
K	Quadrant IV
L	$x$ - axis
M	Quadrant IV
N	Quadrant II
O	Quadrant III
P	$y$ - axis
Q	Quadrant I
R	Quadrant II
S	Quadrant III
T	Quadrant I