Question

Question #b3a8b

Answer 1

The resulting straaight would be: `y=sqrt(3)(x-3)-2`

Explanation:

Let's look what are we supposed to fraw: We are looking for those complex numbers, whose argument is `pi/6`, so we can start with drawing a straight line passing through `(0,0)` with angle to "positive-real" axis equal to `pi/6`

graph{sqrt(3)*x [-10, 10, -10, 10]}

That would be correct answer if there was not `-3+2i` in the bracket.
To make this answer correct we have to move entire graph 3 units to the right and 2 units down. The new graph would be:

graph{sqrt(3)*(x-3)-2 [-10, 10, -10, 10]}