You can put this solution on YOUR website! 4x + 3y = 5
y=-4x/3+5/3 (red line)
This line has a slope=-4/3
3x - 4y = 10
y=3x/4-2.5 Green line)
This line has a slope=3/4
Thus these 2 lines are perpendicular.
(graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -4x/5 +5/3 and 3x/4 -2.5).