Which equation represents a linear function?
Understand the Problem
The question is asking for an identification or definition of an equation that represents a linear function. A linear function is typically expressed in the form y = mx + b, where m and b are constants. The task is to determine which of the given equations fits this form or characteristics.
Answer
y = 3x + 5
The equation y = 3x + 5 represents a linear function.
Answer for screen readers
The equation y = 3x + 5 represents a linear function.
More Information
In the equation y = 3x + 5, the term 3x represents the slope (m) and the term 5 represents the y-intercept (b). This makes it a linear function because it describes a straight line when plotted on a graph.
Tips
A common mistake is to confuse linear functions with other types of equations, such as quadratic equations (e.g., y = x^2 + 3), which represent parabolas.
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