Question 120591
2X-3Y=6 OR -3Y=-2X+6 OR Y=-2X/-3+6/-3 OR Y=2X/3-2 (RED LINE)
THE OPERPENDICULAR LINE PASSING THROUGH (0,2) HAS A SLOPE=-3/2 [NEGATIVE RECIPRICAL OF THE RED LINE]
2=-3/2*0+b
2=b WHICH IS THE Y INTERCEPT
Y=-3X/2+2 IS THIS LINE EQUATION (GREEN LINE)
{{{ graph( 300, 300, -6, 5, -6, 10, y = 2x/3 -2, y =-3x/2 +2) }}} (graph 300x300 pixels, x from -6 to 5, y from -6 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).