Question 66297
4X+3Y=9
3Y=-4X+9
Y=-4/3X+3 SLOPE = -4/3 WITH A Y INTERCEPT OF 3
THE SECOND LINE
Y=X/3+1/2 IS NEITHER PARALLEL NOR PERPENDICULAR AS SHOWN ON THIS GRAPH.
{{{ graph( 300, 200, -6, 5, -10, 10, y = -4x/3 + 3,y = x/3 + 1/2
) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -4x/3 + 3,y = x/3 + 1/2). 
-3X+2Y=9
2Y=3X+9
Y=3X/2+9/2
Y=1.5X+4.5 THIS LINE HAS A SLOPE OF 1.5 & A Y INTERCEPT OF 4.5 AS SHOWN.
{{{ graph( 300, 200, -6, 5, -10, 10, y = 1.5x + 4.5) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -1.5x + 4.5).