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To plot (−2, 5), Riya starts at the origin, moves 2 units up and then 5 units to the left. What is the mistake in her method?

Class 9Coordinate GeometryCoordinate Geometry
  • ANothing is wrong; her method is correct.
  • BShe should have moved 2 units down instead of 2 units up.
  • CShe should have started from (1, 1) rather than from the origin.
  • DShe treated the first number as a vertical move; the first number is the horizontal move, so she should go 2 units left and then 5 units up.

Step-by-Step Solution

In the first number is the abscissa, which fixes the horizontal move, and the second is the ordinate, which fixes the vertical move. For (−2, 5) go 2 units left and 5 units up, landing in quadrant II.
Answer: D) She treated the first number as a vertical move; the first number is the horizontal move, so she should go 2 units left and then 5 units up.

Key idea: Plotting a point

To plot :
1. Start at the origin.
2. Move units along the -axis (right if positive, left if negative).
3. Move units along the -axis (up if positive, down if negative).
4. Mark the point.

Example: (3, −2). From origin, 3 right, 2 down. Lands in quadrant IV.

**Coordinates are ordered**: (3, 2) and (2, 3) are different points.

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