Question 71083
3x+9y=1
9y=-3x+1
y=-3x/9+1/9 
y=-x/3+1/9 this line has a slope of -1/3. 
so a parrallel line through (3,0) has the same slope .
now we substitute the (3,0) values for the x & y values in the line formula & solve for the y intercept(b)
0=-1/3*3+b
0=-1+b
b=1 so this line equation is
y=-x/3+1
the graph of these two lines is:
{{{ graph( 300, 300, -6, 5, -10, 10, y = -x/3+1/9, y = -x/3 +1) }}} (graph 300x300 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/3+1/9 and y = -x/3 +1).