The length of the normal from a line to the origin is 2 * square root(3). The angle from the positive x-axis to the normal is 60 degrees. What is the equation of the line?

- Probably as simple as plugging numbers into the equation but i dont know what equation...

there probably is a canned formula for this, but I can't remember either.

make a sketch and note that three 30-60-90 triangles are formed by the normal, the x-axis, the y-axis, and the line.

using the known side length ratios, I get the x-intercept at the point \(\displaystyle (4\sqrt{3} , 0)\) and the y-intercept as \(\displaystyle (0,4)\)

coming up with an equation should be rather simple from this point.