Question 1128116
Any line perpendicular to the given line has
slope = {{{ -1/m = -5/7 }}}
Use the general point-slope formula
{{{ ( y - 3 ) / ( x - 2 ) = -5/7 }}}
Multiply both sides by {{{ 7*( x - 2 ) }}}
{{{ 7*( y - 3 ) = -5*( x - 2 ) }}}
{{{ y - 3 = (-5/7)*( x - 2 ) }}}
check:
{{{ 7y - 21 = -5x + 10 }}}
{{{ 7y = -5x + 31 }}}
{{{ y = (-5/7)*x + 31/7 }}}
( 2,3 )
{{{ 3 = (-5/7)*2 + 31/7 }}}
{{{ 3 = -10/7 + 31/7 }}}
{{{ 3 = 21/7 }}}
{{{ 3 = 3 }}}
OK