Question

y-1=2(x-2) write in standard form

Answer 1

y-1=2(x-2),
y-1=2x-4,
y=2x-3.

Easy enough?

Answer 2

yep

Answer 3

y-1=2(x-2)is in Point slope form. To get it into standard form get rid of the () by distributing the 2 and move the term 2x to the left and the constants to the right
y - 1 = 2 * x + 2(-2)
-2x + y = -4 + 1
-2x + y = -3 = Standard Form