I need some help with these questions. It's asking me to find the image of the line with the equations y=2x-3 under each of these instances:

a) a rotation of 90 degrees about the origin.

b) a reflection in the y-axis

c) a translation of 2 units parallel to the x-axis in positive direction.

a) is x=2y-3? I basically guessed this answer, but i'm not sure WHY it is this answer lol.

b) y=-2x+3?

c) i know that the line crosses through point (3/2,-3) does this mean i move this point by 2 x units and substitute this into y=mx+c equation?

Cheers