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The ordered pairs (a, 5) and (−3, b) name the same point. What are the values of a and b?

Class 9Coordinate GeometryCoordinate Geometry
  • Aa = −3 and b = 5
  • Ba = 5 and b = −3
  • Ca = 3 and b = 5
  • Da = −3 and b = −5

Step-by-Step Solution

Two ordered pairs are equal only when the first coordinates match and the second coordinates match. Matching abscissa to abscissa gives a = −3, and ordinate to ordinate gives b = 5.
Answer: A) a = −3 and b = 5

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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