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 Cartessian plane.

Answer 1

The points (-2, 4), (3, -1), (-1, 0), (1, 2), and (-3, -5) lie in the second, fourth, on the x-axis, first, and third quadrants respectively.

Step-by-step explanation:

The Cartesian plane is divided into four quadrants. The first quadrant is the region where both the x-coordinate and y-coordinate are positive. The second quadrant is the region where the x-coordinate is negative and the y-coordinate is positive.

The third quadrant is the region where both the x-coordinate and y-coordinate are negative. The fourth quadrant is the region where the x-coordinate is positive and the y-coordinate is negative.

The point (-2, 4) lies in the second quadrant. The point (3, -1) lies in the fourth quadrant. The point (-1, 0) lies on the x-axis.

The point (1, 2) lies in the first quadrant. The point (-3, -5) lies in the third quadrant.