check the picture.
π radians is the angle 180 degrees, so π/4 radians is 180°/4=45°.
to construct the angle [tex]5 \frac{ \pi}{4} [/tex] we can proceed as shown in the figure, that is, we open an angle equal to 5 half right angles.
We see that the line making the angle 5pi/4 is the same line making the angle pi/4 radians, that is 45 degrees.
A line making the angle 45 degrees with the x axis, has slope equal to 1.
Remark, we have considered a line passing through the origin, as it represents all other lines making 5pi/4 radians.
Answer: slopi=1
