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Two students each find a DIFFERENT solution of and plot their points. Which statement is correct?

Class 9Linear Equations in Two VariablesLinear Equations
  • AThe two points must actually be the same point
  • BThe points lie on two different lines
  • CBoth points lie on one straight line — the graph of
  • DOnly one of the two students can be correct

Step-by-Step Solution

The equation has infinitely many solutions and every one of them lies on its graph, a single straight line. For example (0, 9), (1, 6) and (3, 0) are all on it.
Answer: C) Both points lie on one straight line — the graph of

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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