Determine the equation of the line through the point A(5,6)and parallel to the line y=2x+2

Answer 1

Since the new line is parallel to y = 2x + 2
it will differ only in the value of b in the form y = mx + b

so you know it must be y = 2x + b
sub in (5,6)
6 = 2(5) + b

solve for b, and you got it