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Point P is plotted on the Cartesian plane (each grid square is 1 unit). What are the coordinates of P?

Class 9Coordinate GeometryCoordinate Geometry
  • A(2, −3)
  • B(3, 2)
  • C(−3, 2)
  • D(−3, −2)

Step-by-Step Solution

P is units to the left of the -axis, so , and units above the -axis, so . Hence P is .
Answer: C) (−3, 2)

Key idea: Reading coordinates

Given a point on a graph:
1. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
2. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
3. Combine: .

Reverse if you're given coordinates: read first (horizontal direction), then (vertical direction). Don't swap their roles.

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