Find the trajectory equation of the point with the same distance between two lines 2x-y-1 = 0 and 4x-2y + 9 = 0

Find the trajectory equation of the point with the same distance between two lines 2x-y-1 = 0 and 4x-2y + 9 = 0

y=2x-1
y=2x+9/2
So the answer is y = 2x + 7 / 4