Question

Help with application question for trig

Answer 1

If \[\theta, 0<\theta<\pi\] is an angle between the positive x-axis and line l, where l is not horizontal or vertical, then show the slope of l is equal to the tan(theta). The angle, Theta, is called the angle of inclination of l. (note that l || m in the diagram below, and use two cases to show the statement is true for all \[\theta, 0<\theta<\pi\]

Answer 2

\[\tan(\theta)=\frac{y}{x}=m\]