Question

Which point lies on the line with point-slope equation y-2=5(x-6)

Answer 1

The numbers inside the brackets determine which point lies on the line.

The general formula is

y - h = m(x - k)

The point that lies on the line however is (h,k) both turn to the opposite sign.

So in your case the point is (6,2). I have made a graph to show you that this is true. No other point is possible.