In this section, we learn about an important characteristic of a line, its slope. The slope of a line is a measure of its steepness.
It’s the amount the line rises or falls per one unit change horizontally (along the x - axis). We can calculate the slope by using the slope formula. First,
we pick any two points on the line and label one point as: (x1
) and the other as: (x2
). We can then plug these points into the
slope formula. The slope formula, which denotes slope as m, gives the slope as: the change in y values (vertical change or rise) / the change in x values (horizontal change or run).
We often think about slope as: rise/run. The slope formula:
|m (slope) =
||y2 - y1
|x2 - x1