#### Answer

y=$\frac{1}{4}$x-$\frac{1}{4}$

#### Work Step by Step

4x+y=5
y=-4x+5
The desired line must have a slope that is the opposite reciprocal of -4, therefore, m=$\frac{1}{4}$.
y-y$_1$=m(x-x$_1$)
y-1=$\frac{1}{4}$(x-5)
y=$\frac{1}{4}$x-$\frac{5}{4}$+1
y=$\frac{1}{4}$x-$\frac{1}{4}$