#### Question

In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.

#### Solution

The point (-2,4) lies in the II^{nd }quadrant in the Cartesian plane because for point(-2, 4), *x*-coordinate is negative and *y*-coordinate is positive.

Again, the point (3, -1) lies in the IV^{th} quadrant in the Cartesian plane because for point(3,-1), *x*-coordinate is positive and *y*-coordinate is negative.

The point(-1,0) lies on negative *x*-axis because for point (-1,0), the value of *y*-coordinate is zero and the value of *x*-coordinate is negative.

The point (1,2) lies in the I^{st} quadrant as for point (1, 2), both *x* and *y* are positive.

The point (-3, -5) lies in the III^{rd} quadrant in the Cartesian plane because for point (-3, -5), both *x*and *y* are negative.