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Math
What is a linear equation?
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A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a variable raised to the power of 1. In other words, a linear equation represents a straight line when graphed on a coordinate plane.
The general form of a linear equation in one variable, typically represented as “x,” is:
ax + b = 0
where “a” and “b” are constants. The solution to this equation is a single value for “x” that makes the equation true.
In the case of a linear equation in two variables, typically represented as “x” and “y,” the general form is:
ax + by + c = 0
where “a,” “b,” and “c” are constants. The solution to this equation is an ordered pair (x, y) that satisfies the equation and represents a point on the graph of a straight line.
Linear equations are widely used in various fields, including mathematics, physics, engineering, economics, and many other disciplines. They provide a fundamental tool for modeling relationships between variables that exhibit a constant rate of change.