### Find the slope of the line making the inclination of $45^\circ$ with the positive direction of the $x$-axis.

$1$
1. Given, the inclination of the line $\alpha = 45^\circ$
Therefore the slope of the line $m = tan \space 45^\circ = 1$
2. Hence, the slope of the line making the inclination of $45^\circ$ with the positive direction of the $x$-axis is $1$.