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Which point lies on the line ?

Class 9Linear Equations in Two VariablesLinear Equations
  • A(3, 2)
  • B(2, −3)
  • C(−2, 3)
  • D(3, −2)

Step-by-Step Solution

✓. The others give 12, −5 and 5. With no constant term the line passes through the origin, and the coefficients set the pattern: pairs with .
Answer: D) (3, −2)

Key idea: Graphing a linear equation

Three steps:

1. Find at least **two solutions** (preferably the and intercepts — easiest to plot).
2. Plot those points on the coordinate plane.
3. Draw a straight line through them.

Every linear equation in two variables graphs as a STRAIGHT LINE. (That's why they're called 'linear'.)

For accuracy: find a third solution and verify it lies on the line — catches arithmetic mistakes.

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