#### Answer

y=$\frac{1}{6}$x-$\frac{7}{3}$

#### Work Step by Step

6x+y=-11
y=-6x-11
The desired line must have a slope that is the opposite reciprocal of -6. Therefore, m=$\frac{1}{6}$.
y-y$_1$=m(x-x$_1$)
y+3=$\frac{1}{6}$(x+4)
y=$\frac{1}{6}$x+$\frac{2}{3}$-3
y=$\frac{1}{6}$x-$\frac{7}{3}$