What is an example of a linear equation?

Study for the FAA-H-8083-30B AMT General Handbook – Mathematics in Aviation Maintenance Exam. Engage with flashcards and multiple choice questions, with hints and explanations. Get ready for your exam!

A linear equation is one that can be represented in the standard form of a straight line, typically expressed as (y = mx + b), where (m) is the slope and (b) is the y-intercept. This equation shows a linear relationship between the variables (x) and (y), meaning that as (x) changes, (y) changes at a constant rate, resulting in a straight line when graphed.

In contrast, other equations do not describe linear relationships. For instance, the equation (y = ax^2 + bx + c) is a quadratic equation, which represents a parabolic curve rather than a straight line. The equation (y = \sin(x)) describes a trigonometric function that results in a wave-like graph, while (y = \log(x)) describes a logarithmic function, which also does not produce a straight-line graph. Therefore, the structure of the equation (y = mx + b) is what fundamentally defines it as a linear equation.

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