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The line is drawn on the grid. Which of the marked points P, Q, R and S lies on this line?

Class 9Linear Equations in Two VariablesLinear Equations
  • AQ
  • BR
  • CS
  • DP

Step-by-Step Solution

P is and , so P lies on the line. Q gives ; R and S also fail.
Answer: D) P

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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