Question

A line makes an angle of \( 45^\circ \) with the positive direction of the X-axis. Find the slope of the line.

Hint:

The slope of a line at \( 45^\circ \) with the X-axis is always \( 1 \), as \( \tan 45^\circ = 1 \).

Answer 1

Step 1: The slope of a line is given by: \[ \text{Slope} = \tan \theta, \] where \( \theta \) is the angle made with the positive X-axis.
Step 2: Substituting \( \theta = 45^\circ \): \[ \text{Slope} = \tan 45^\circ = 1. \]