Question

the given points on the coordinate plane. determine which nt or axis the point is located in or on.
a) b(-4, 2) b) e(8, 5)
c) g(-5, 5) d) l(8, -4)
e) q(3, -1) f) x(-2, 5)
g) s(4, -6) h) d(2, -2)
i) a(-7, -5) j) m(6, 0)

Explanation:

Step1: Recall quadrant rules

In a coordinate - plane, if \(x>0,y>0\), the point is in the first quadrant; if \(x < 0,y>0\), the point is in the second quadrant; if \(x<0,y < 0\), the point is in the third quadrant; if \(x>0,y < 0\), the point is in the fourth quadrant. If \(y = 0\), the point is on the \(x\) - axis and if \(x = 0\), the point is on the \(y\) - axis.

Step2: Analyze point B(-4, 2)

Since \(x=-4<0\) and \(y = 2>0\), point B is in the second quadrant.

Step3: Analyze point E(8, 5)

Since \(x = 8>0\) and \(y=5>0\), point E is in the first quadrant.

Step4: Analyze point G(-5, 5)

Since \(x=-5<0\) and \(y = 5>0\), point G is in the second quadrant.

Step5: Analyze point L(8, -4)

Since \(x = 8>0\) and \(y=-4<0\), point L is in the fourth quadrant.

Step6: Analyze point Q(3, -1)

Since \(x = 3>0\) and \(y=-1<0\), point Q is in the fourth quadrant.

Step7: Analyze point X(-2, 5)

Since \(x=-2<0\) and \(y = 5>0\), point X is in the second quadrant.

Step8: Analyze point S(4, -6)

Since \(x = 4>0\) and \(y=-6<0\), point S is in the fourth quadrant.

Step9: Analyze point D(2, -2)

Since \(x = 2>0\) and \(y=-2<0\), point D is in the fourth quadrant.

Step10: Analyze point A(-7, -5)

Since \(x=-7<0\) and \(y=-5<0\), point A is in the third quadrant.

Step11: Analyze point M(6, 0)

Since \(y = 0\), point M is on the \(x\) - axis.

Answer:

a) Second quadrant
b) First quadrant
c) Second quadrant
d) Fourth quadrant
e) Fourth quadrant
f) Second quadrant
g) Fourth quadrant
h) Fourth quadrant
i) Third quadrant
j) On the \(x\) - axis