State in which quadrant or on which axis do the following points lie.

- A (-3 , 2)
- B (-5 , -2)
- C (3.5 , 1.5)
- D (2 , 10)
- E (37 , 35)
- F (15 , -18)
- G (3 , -7)
- H (0 , -5)
- M (12 , 0)
- N (0 , 9)
- P (0 , 2.5)
- Q (-7 , -3)

#### Solution

1. The x co-ordinate of A(−3, 2) is negative and its y coordinate is positive. Therefore, point A(−3, 2) is in the second quadrant.

2. The x co-ordinate of B(−5, −2) is negative and its y coordinate is negative. Therefore, point B(−5, −2) is in the third quadrant.

3. The x co-ordinate of K(3.5, 1.5) is positive and its y coordinate is positive. Therefore, point K(3.5, 1.5) is in the first quadrant.

4. The x co-ordinate of D(2, 10) is positive and its y coordinate is positive. Therefore, point D(2, 10) is in the first quadrant.

5. The x co-ordinate of E(37, 35) is positive and its y coordinate is positive. Therefore, point E(37, 35) is in the first quadrant.

6. The x co-ordinate of F(15, −18) is positive and its y coordinate is negative. Therefore, point F(15, −18) is in the fourth quadrant.

7. The x co-ordinate of G(3, −7) is positive and its y coordinate is negative. Therefore, point G(3, −7) is in the fourth quadrant.

8. The x co-ordinate of H(0, −5) is zero. Therefore, point H(0, −5) is on the Y-axis.

9. The y co-ordinate of M(12, 0) is zero. Therefore, point M(12, 0) is on the X-axis.

10. The x co-ordinate of N(0, 9) is zero. Therefore, point N(0, 9) is on the Y-axis.

11. The x co-ordinate of P(0, 2.5) is zero. Therefore, point P(0, 2.5) is on the Y-axis.

12. The x co-ordinate of Q(−7, −3) is negative and its y coordinate is negative. Therefore, point Q(−7, −3) is in the third quadrant.