Coordinate Geometry
1. The point (0, -2) has $x=0$ and $y=-2$. Since $x=0$, it lies on the y-axis. Because $y$ is negative, it lies on the negative direction of the y-axis. So, the answer is (b).
2. All points on the x-axis have $y=0$. Their $x$-coordinate (abscissa) can be any number. So, the answer is (d).
3. All points on the x-axis have $y=0$. So, the ordinate of all points on the x-axis is 0. The answer is (a).
4. All points on the y-axis have $x=0$. So, the abscissa of all points on the y-axis is 0. The answer is (a).
5. The ordinate of points on the y-axis can be any number. So, the answer is (d).
6. A point with both coordinates negative lies in the III quadrant. So, the answer is (b).
7. A point with both coordinates positive lies in the I quadrant. So, the answer is (a).
8. If the $y$-coordinate is zero, the point lies on the x-axis. So, the answer is (c).
9. If the $x$-coordinate is zero, the point lies on the y-axis. So, the answer is (d).
10. Points (1, -1), (2, -2), (4, -5) have positive $x$ and negative $y$, so they lie in the IV quadrant. Point (-3, -4) has both coordinates negative, so it lies in the III quadrant. Since not all points lie in the same quadrant, the answer is (d).
11. Points (1, -2), (2, -3), (4, -6), (2, -7) all have positive $x$ and negative $y$, so all lie in the IV quadrant. The answer is (c).
12. Point (-5, 2) has negative $x$ and positive $y$, so it lies in the II quadrant. Point (2, -5) has positive $x$ and negative $y$, so it lies in the IV quadrant. So, the answer is (c).
13. A point on the y-axis has $x=0$. The ordinate is 4, so the point is (0, 4). The answer is (b).
14. Abscissa (x-coordinate) is positive in quadrants where $x>0$, which are I and IV quadrants. So, the answer is (b).
15. The perpendicular distance of point P(3,4) from the y-axis is the absolute value of its $x$-coordinate, which is 3. So, the answer is (a).