A line passes through the point (1, −3) and forms an angle of 30 ° with the line y = √3x - 5. Determine the equation of the line.

Question

A line passes through the point (1, −3) and forms an angle of 30 ° with the line y = √3x - 5. Determine the equation of the line.

Answer 1

As usual, Mark M. is CORRECT!

However, if we assume (and you all know what assume does!) that x is OUTSIDE the radical,

then the that line makes an angle of 60 degrees with the x-axis. Now draw a figure!

That means the line through (1,-3) makes an angle of 30 degrees with the x-axis and the required line is

tan 30 = (y+3)/(x-1).