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The graph of meets the two axes at which points?

Class 9Linear Equations in Two VariablesLinear Equations
  • A(3, 0) and (0, 6)
  • B(6, 0) and (0, −3)
  • C(3, 0) and (0, −6)
  • D(−3, 0) and (0, 6)

Step-by-Step Solution

→ → , giving (3, 0). → → , giving (0, −6). Dividing by −1 is where the sign is usually dropped.
Answer: C) (3, 0) and (0, −6)

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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