Here's why:
* Slope: The slope of a line represents the rate at which the y-value changes for every change in the x-value. It's a constant value for a straight line.
* Linear Function: A linear function is a function whose graph is a straight line. The defining characteristic of a linear function is that its slope is constant throughout its entire domain.
Example:
Consider the equation of a line: y = 2x + 1
* If you pick any two points on this line (e.g., (1, 3) and (2, 5)), you'll find that the slope calculated between them is always 2.
* This consistency in slope is what makes it a linear function.
Non-Linear Functions:
In contrast, non-linear functions (like parabolas, exponentials, etc.) do not have a constant slope. The slope changes as you move along the curve.
