Question 669457
x+6y=5
6y=5-x
y=5/6-x/6
y=-x/6+5/6; 
Comparing with y=mx+c form,the slope of given line= m = -1/6
Any line parallel to this line will have same slope.
Equation of line parallel to it will be 
y-Y=m(x-X)
y-9=(-1/6)(x-7)
   =(7-x)/6
6y-54=7-x
x+6y=61.