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Algebra

Linear Equation in Two Variables

Formula
ax + by + c = 0

What is Linear Equation in Two Variables?

A linear equation in two variables represents a straight line on a coordinate plane. The standard form is ax + by + c = 0, where a, b, and c are constants and a and b are not both zero.

Variables

  • x
    x, y — Variables
  • a
    a, b, c — Constants (a and b not both zero)

Worked Examples

Example 1

Check if (2, 3) is a solution of 2x + 3y − 13 = 0.

Solution:

Substitute: 2(2) + 3(3) − 13 = 4 + 9 − 13 = 0. Yes, it is a solution.

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