Question 995643
Try to think of a strategy.


First equation has y-intercept at 4, and second equation has y-intercept at -4.


A line perpendicular to both lines will have a segment which is the distance between the two lines.


Line perpendicular to {{{y=4x+4}}} passing through  (0,4) will be  {{{y=-(1/4)+b}}} and you can find this b;


{{{y+(1/4)x=b}}}
{{{b=y+(1/4)x}}}
{{{b=4+(1/4)*0}}}
{{{b=4}}} which you might have figured without calculation.
This perpendicular line's equation is {{{y=-(1/4)x+4}}}


Find the point of intersection of {{{y=-(1/4)x+4}}} and {{{y=4x-4}}}.


--more later, maybe---