 Hello and welcome to the session. Let us discuss the following question. It says find the slope of the line which makes an angle of 30 degrees with the positive direction of y-axis measured anticlockwise. Now to solve this question we need to know that if theta is the angle made by a line with positive direction of x-axis and measured anticlockwise then tan theta is the slope of the line. Let us now move on to the solution. We are given that line makes angle of 30 degrees with y-axis measured anticlockwise. Now to find the slope of this line we need to find the angle which it makes with the positive direction of x-axis measured anticlockwise. Now the line makes an angle of 90 plus 30 that is 120 degrees with positive direction of x-axis. Now we know that slope is tan theta so slope of line is equal to tan 120 degrees and this is equal to tan 180 minus 60 degrees that is minus tan 60 degrees and tan 60 is root 3 so slope of line is minus root 3. Hence the slope of the line is minus root 3. So this completes the version. Hope you enjoyed the session. Goodbye and take care.