Question 310085
y=mx+b.
(3,8);
x+4y=9
4y=-x+9
y=-x/4+9 (red line)
This line has a slope=-1/4.
A parallel line will also have a slope=-1/4
8=-1/4*3+b
8=-3/4+b
b=8+3/4
b=(32+3)/4 
b=35/4 the Y intercept.
y=-x/4+35/4 (green line)
{{{ graph( 300, 200, -6, 5, -10, 12, -x/4 +9,-x/4 +35/4) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 12, of TWO functions -x/4 and +9,-x/4 +35/4).