x - 2y = 2
-2y = -x + 2
y = 1/2x - 1....slope = 1/2, y int = -1
y = -2x + 5.....slope = -2 and y int = 5
different slopes, different y int, means one solution <=== u have 1 solution....and these lines are perpendicular
little tip **
different slopes, different y int = one solution
same slope, same y int = infinite solutions
same slope, different y int = no solutions