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 IInd 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 IVth 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 Ist quadrant as for point (1, 2), both x and y are positive.
The point (-3, -5) lies in the IIIrd quadrant in the Cartesian plane because for point (-3, -5), both xand y are negative.