Linear Equations in Two Variables 4

Introduction to Linear Equations in Two Variables

* A linear equation in two variables is of the form ax + by + c = 0
Where a, b, c are real numbers and a ≠ 0, b ≠ 0.
* An ordered pair (x, y) can be considered as solution if it satisfies the equation.

Graphical Representation of Linear Equations in Two Variables

* A linear equation in two variables is represented as a line on the Cartesian plane
* A minimum of two points (two ordered pairs) are needed to plot a graph of a linear equation in two variables
* The equation of a line parallel to x-axis is y = k where k is a real number
* The equation of a line parallel to y-axis is x = k where k is a real number

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