Here's a breakdown:
* Vertical Change: This is the difference in the y-coordinates of two points on the line. It's often referred to as the "rise."
* Horizontal Change: This is the difference in the x-coordinates of the same two points. It's often referred to as the "run."
Formula for Slope:
Slope (m) = (change in y) / (change in x) = (rise) / (run)
Example:
Let's say you have two points on a line: (2, 1) and (4, 5).
* Vertical Change (rise): 5 - 1 = 4
* Horizontal Change (run): 4 - 2 = 2
Therefore, the slope of the line is 4/2, which simplifies to 2. This means that for every 2 units you move to the right (horizontally), you move 4 units upwards (vertically).