Angle of Inclination and Slope of a Line

The angle of inclination θ of a line l

The angle of inclination of a line is the smallest positive angle θ that the (upper) part of the line makes with the positive direction of which axis?

What is the range of possible values for the angle of inclination \(\theta\) of a line?

A line that climbs upward as it moves right

A line climbs 3 units upward for each unit step to the right, as shown. What is its slope?

Find the slope of the line passing through \(P(2, 4)\) and \(Q(5, 16)\).

Find the slope of the line passing through \(P(2, 4)\) and \(Q(5, 16)\).

The line through \((7, 5)\) and \((-2, 8)\) has what slope? Express as a fraction.

The line through \((7, 5)\) and \((-2, 8)\) has what slope? Express as a fraction.

If the angle of inclination \(\theta\) of a line is acute, its slope \(m = \tan\theta\) is:

If the angle of inclination \(\theta\) of a line is obtuse, its slope \(m\) is: