Question: What does the slope mean
1. The problem asks: What does the slope mean?
2. The slope is a measure of how steep a line is on a graph.
3. The formula for slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
4. This formula calculates the "rise" (change in $y$) over the "run" (change in $x$).
5. A positive slope means the line goes up as you move from left to right.
6. A negative slope means the line goes down as you move from left to right.
7. A slope of zero means the line is horizontal.
8. An undefined slope means the line is vertical.
9. In simple terms, slope tells you how much $y$ changes for a change in $x$.
10. For example, if $m=2$, it means for every 1 unit increase in $x$, $y$ increases by 2 units.