Question 750228
The given equation has slope = {{{ 7/12 }}}
The slope of any line perpendicular to this one 
will have slope = {{{ -1/m }}}
{{{ -1 / (7/12) = -12/7 }}}
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( 12, -4 )
Using the general point-slope formula:
{{{ ( y - (-4) ) / ( x - 12 ) = -12/7 }}}
{{{ ( y + 4 ) / ( x - 12 ) = -12/7 }}}
{{{ 7*( y + 4 ) = -12*( x - 12 ) }}}
{{{ 7y + 28 = -12x + 144 }}}
{{{ 7y = -12x + 116 }}}
{{{ y = (-12/7)*x + 116/7 }}}
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check:
Does it go through ( 12, -4 ) ?
{{{ -4 = (-12/7)*12 + 116/7 }}}
{{{ -4*7 = -144 + 116 }}}
{{{ -28 = -28 }}}
OK