Question 101509
From {{{4x-y=12}}} we can see that slope {{{m=4}}}
Therefore the perpendicular line has slope {{{m1=-(1/4)}}}
If you use {{{the}}}{{{ point}}} – {{{slope}}}{{{ form)}}}, you will have:
{{{y= -(1/4)(x-8) + 2 }}}  now you can simplify it
{{{y=-(1/4)*x + (-1/4)(-8) +2}}}
{{{y= -(1/4)*x +2 +2}}}
{{{y= -(1/4)*x +4}}}