Question 130054
2X+3Y=-7 
3Y=-2X-7
Y=-2X/3-7/3 (RED LINE)
FOR A LINE TO BE PARALLEL TO THIS LINE IT HAS TO HAVE THE SAME SLOPE(-2/3) AS THIS LINE:
-3=-2/3*-2+b
-3=4/3+b
b=-3-4/3
b=(-9-4)/3
b=-13/3 
Y=-2X/3-13/3(GREEN LINE)
THUS WE HAVE THE PARALLEL LINE WITH A SLOPE(-2/3) PASSING THROUGH (-2,-3) IS:
{{{ graph( 300, 200, -6, 5, -10, 10, -2x/3 -7/3,-2x/3 -13/3 ) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -2x/3 -7/3 and -2x/3 -13/3)