Given:
The equation passes through (h, k) and make an angle of tan-1 m with the line y = mx + c
We know that the equations of two lines passing through a point x1, y1 and making an angle α with the given line y = mx + c are
m′ = m
So,
Here,
x1 = h, y1 = k, α = tan-1 m, m′ = m.
So, the equations of the required lines are