Question 804454
Problem 1:
The first thing you need to do is solve for y.
{{{y+2x=-14}}}
{{{y=-2x-14}}}
next you need need to make a new equation that is perpendicular.
To make an equation perpendicular, you take the slope {{{-2}}} and inverse it and multiply it by a -1.
The perpendicular slope is {{{1/2}}}.
your new equation is
{{{y=(1/2)x+b}}}
to find b, plug in the point they gave you. (-4,3)
{{{3=(1/2)(-4)+b}}}
{{{3=-2+b}}}
{{{b=5}}}
The answer is 
{{{y=(1/2)x+5}}}
<br/>
Problem 2:
Solve for y.
{{{y+2x=-16}}}
{{{y=-2x-16}}}
parallel equations have the same slope.
so your new equation will be
{{{y=-2x+b}}}
plug in the point they gave you to find b. (-8,4)
{{{4=-2(-8)+b}}}
{{{4=16+b}}}
{{{-12=b}}}
Your answer is {{{y=-2x-12}}}