Question 569045
Use the point-slope formula
{{{ ( y - 5 ) / ( x -(-6) ) = 2/3 }}}
{{{ ( y - 5 ) / ( x + 6 ) = 2/3 }}}
Multiply both sides by {{{ 3*( x + 6 ) }}}
{{{ 3*( y - 5 ) = 2*( x + 6 ) }}}
{{{ 3y - 15 = 2x + 12 }}}
{{{ 3y = 2x + 27 }}}
{{{ y = (2/3)*x + 9 }}}
or, in standard form:
{{{ 2x - 3y = -27 }}}