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Does the line of the equation pass through the origin (0, 0)?

Class 9Linear Equations in Two VariablesLinear Equations
  • AYes, because 0 − 0 = 0
  • BNo, because the equation has no constant term
  • CNo, it passes through (1, 0) instead
  • DYes, but only when

Step-by-Step Solution

Substitute (0, 0): 0 − 0 = 0 = RHS ✓. A line ax + by = 0 (no constant term) always passes through the origin.
Answer: A) Yes, because 0 − 0 = 0

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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