Question 117780
2X-3Y=6
-3Y=-2X+6
Y=-2X/-3+6/-3
Y=2X/3-2 (RED LINE)
THIS LINE HAS A SLOPE=2/3.
A PERPENDICULAR LINE WILL HAVE A SLOPE=-3/2 AND PASSING THROUGH THE Y INTERCEPT(b)=(0,2)IS:
Y=-3X/2+2 ANSWER. (GREEN LINE)
{{{ graph( 300, 300, -10, 10, -10, 10, y = 2x/3 -2, y = -3x/2 +2) }}} (graph 300x300 pixels, x from -10 to 10 , y from -10 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).