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The point (−2, ) lies on the line . Find .

Class 9Linear Equations in Two VariablesLinear Equations
  • A−4
  • B12
  • C−2
  • D4

Step-by-Step Solution

→ . Moving −10 across makes it +10, so → . (Adding instead of subtracting gives the trap answer −4.)
Answer: D) 4

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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