Question 723638
Use the general point slope formula:
{{{ ( y -(-5) ) / ( x -(-3) ) = ( 7 -(-5) ) / ( -5 -(-3) ) }}}
{{{ ( y + 5 ) / ( x + 3 ) = ( 7 + 5 ) / ( -5 + 3 ) }}}
{{{ ( y + 5 ) / ( x + 3 ) = 12 / (-2) }}}
{{{ ( y + 5 ) / ( x + 3 ) = -6 }}}
{{{ y + 5 = -6*( x + 3 ) }}}
{{{ y + 5 = -6x - 18 }}}
{{{ y = -6x - 23 }}}
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check:
(-5,7)
{{{ y = -6x - 23 }}}
{{{ 7 = -6*(-5) - 23 }}}
{{{ 7 = 30 - 23 }}}
{{{ 7 = 7 }}}
and
(-3,-5)
{{{ y = -6x - 23 }}}
{{{ -5 = -6*(-3) - 23 }}}
{{{ -5 = 18 - 23 }}}
{{{ -5 = -5 }}}
OK