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The graph of is drawn. The orange dots mark where it cuts the axes. What are these two points?

Class 9Linear Equations in Two VariablesLinear Equations
  • A(0, 3) and (−2, 0)
  • B(3, 0) and (0, −2)
  • C(3, 0) and (0, 2)
  • D(2, 0) and (0, −3)

Step-by-Step Solution

On the -axis , so . On the -axis , so . The points are and .
Answer: B) (3, 0) and (0, −2)

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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