Question 98124
WE NEED TO FIND THE SLOPE OF THIS LINE 
3X+5Y=15
5Y=-3X+15
Y=-3X/5+15/5
Y=-3X/5+3 HERE THE SLOPE IS -3/5. (RED LINE)
THEN THE LINE THROUGH (0,9) MUST HAVE A SLOPE OR (-3/5) ALSO TO BE PARALLEL.
NOW SUBSTITUTE THESE (X,Y) VALUES (0,9) & THE SLOPE OF (-3/5) IN THE LINE EAUQTION 7 SOLVE FOR (b) THE Y INTERCEPT OF THIS LINE:
9=-3/5*0+b
b=9 FOR THE Y INTERCEPT OG THIS LINE THAT IS PARALLEL TO THE GIVEN LINE WITH A SLOPE OF (-3/5)  & A Y INTERCEPT (b=9)
Y=-3X/5+9 (GREEN LINE)
{{{ graph( 300, 200, -6, 5, -10, 10, y = -3x/5 +3, y = -3x/5 +9) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions Y = -3X/5 +3 and Y = -3X/5 +9).