It is given that the slope of the first line, m1 = 2.
Let the slope of the other line be m2.
The angle between the two lines is 60°.

The equation of the line passing through point (2, 3) and having a slope of (2 - √3) / (2√3 + 1) is given by

In this case, the equation of the other line is ( √3 - 2)x +(2√3 + 1)y = - 1 + 8√3

The equation of the line passing through point (2, 3) and having a slope of - (2 +√3) / (2√3-1) is
