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Practice each question, then open the answer or worked solution.
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.
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
The points to be plotted on the (x, y) are
i. (-2, 8)
ii. (-1, 7)
iii. (0, -1.25)
iv. (1, 3)
v. (3, -1)
On the graph, mark the X-axis and the Y-axis. Mark the meeting point as O.
Now, let 1 unit = 1 cm
i. (-2, 8): II- Quadrant, Meeting point of the imaginary lines that starts from 2 units to the left of origin O and from 8 units above the origin O.
ii. (-1, 7): II- Quadrant, Meeting point of the imaginary lines that starts from 1 unit to the left of origin O and from 7 units above the origin O.
iii. (0, -1.25): On the x-axis, 1.25 units to the left of the origin O.
iv. (1, 3): I- Quadrant, Meeting point of the imaginary lines that starts from 1 unit to the right of origin O and from 3 units above the origin O.
v. (3, -1): IV- Quadrant, Meeting point of the imaginary lines that starts from 3 units to the right of origin O and from 1 unit below the origin O.