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Which statement about the graph of is TRUE?

Class 9Linear Equations in Two VariablesLinear Equations
  • AIt cuts the -axis at (4, 0) and the -axis at (0, 10)
  • BIt cuts the -axis at (0, 4) and the -axis at (10, 0)
  • CIt cuts both axes at the same point
  • DIt passes through the origin

Step-by-Step Solution

Put → , giving (4, 0) on the -axis. Put → , giving (0, 10) on the -axis. The origin fails because 0 + 0 ≠ 20.
Answer: A) It cuts the -axis at (4, 0) and the -axis at (0, 10)

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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