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The graph of a linear equation passes through the points (0, −5) and (2, −5). Which equation is it?

Class 9Linear Equations in Two VariablesLinear Equations
  • A
  • B
  • C
  • D

Step-by-Step Solution

Both points have the same ordinate, −5, so every point on the line has — a horizontal line. fails at (2, −5) because 2 − 5 = −3.
Answer: A)

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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