Question 121661
2X+3Y=4
3Y=-2X+4
Y=-2X/3+4/3 THIS LINE HAS A SLOPE=-2/3. (RED LINE)
THUS ANY PARALLEL LINE ALSO HAS A SLOPE=-2/3 & IF IT PASSES THROUGH(3,-1) THEN WE HAVE THE EQUATION:
-1=-2/3*3+b
-1=-2+b
b=-1+2
b=1 SO THE EQUATION IS:
Y=-2X/3+1 (GREEN LINE)
{{{ graph( 300, 200, -6, 5, -10, 10, y = -2x/3 +4/3, y = -2x/3 +1) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -2x/3 +4/3 and y = -2x/3 +1).