Question 405422
(6,7); 

x+5y=4

5y=-x-4
y=(-x/5)-(4/5)

..

compare with y= mx+b
m=(-1/5)
the slope of the required will be the same since line is parallel
Plug (6,7) & (-1/5) to get b
in y= mx+b

7=(-1/5)*6+b
7+6/5=b
b=41/5

The equation of line 

y=(-1/5)x-41/5


...
{{{graph(300,300,-10,10,-10,10,y=(-x/5)-(4/5),y=(-1/5)x-41/5)}}}