Question 748703
Turn both equations into the
standard form of y = mx + c
3x - 4y = 6
     4y = - 3x + 6
      y = - 3/4x + 3/2

8x + 6y = 6
     6y = - 8x + 6
      y = - 8/6x + 1
      y = -4/3x + 1

As both gradients are different
namely -3/4 and -4/3 then these
lines are not parallel.