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Answer :
Final answer:
An example of a linear function is y = 2x + 3, expressed in the form y = mx + b. It is linear because it produces a straight line graph with a consistent slope and y-intercept. The slope indicates how y changes with x, demonstrating linearity.
Explanation:
Linear Function Example
An example of an equation that represents a linear function is y = 2x + 3.
This equation is linear because it can be expressed in the standard form y = mx + b, where m is the slope and b is the y-intercept. In this instance, the slope (m) is 2, which indicates that for every unit increase in x, y increases by 2 units. The y-intercept (b) is 3, meaning the line intersects the y-axis at the point (0, 3).
Linear functions produce a straight line when graphed on a coordinate plane, which is a defining characteristic of linearity. In contrast, non-linear functions, such as quadratics like y = x², create curves.
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