Question

Explain how the slope and the slope angle of a line are related.

Answer 1

\[slope = \frac{rise}{run}\]
is what most people think of, but the rise is the side opposite the angle, and the run is adjacent to the angle.
so really we have:
\[slope= \frac{opp}{adj} = \tan(\theta)\]
so:
\[\tan(\theta) = slope\]