The slope formula is your key to understanding how steep a line is! It tells you the rate of change between two points on a line. Imagine climbing a hill – the slope is how much you go up (rise) for every step you take forward (run). A positive slope means the line goes up as you move right, a negative slope means it goes down, a zero slope is a flat line, and an undefined slope is a vertical line. Let's dive into some practice!
Match the terms with their definitions:
The slope formula is used to find the ____ of a line. The formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $m$ represents the ____, $(x_1, y_1)$ and $(x_2, y_2)$ are two ____ on the line. The 'rise' is the change in the ____ values, and the 'run' is the change in the ____ values. If the denominator is zero, the slope is ____.
Explain in your own words why a horizontal line has a slope of zero.
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