Question 1094690
Use the general point-slope formula
( -3,7 )
( 9, -1 )
{{{ ( y - (-1) ) / ( x - 9 ) = ( 7 -(-1) ) / ( -3 - 9 ) }}}
{{{ ( y + 1 ) / ( x - 9 ) = ( 7 + 1 ) / ( -12 ) }}}
{{{ ( y + 1 ) / ( x - 9 ) = -2/3 }}}
Multiply both sides by {{{ 3*( x - 9 ) }}}
{{{ 3*( y + 1 ) = -2*( x - 9 ) }}}
{{{ 3y + 3 = -2x + 18 }}}
{{{ 3y = -2x + 15 }}}
{{{ y = (-2/3)*x + 5 }}}
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check:
(-3,7 )
{{{ 7 = (-2/3)*(-3) + 5 }}}
{{{ 7 = 2 + 5 }}}
{{{ 7 = 7 }}}
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(9,-1)
{{{ -1 = (-2/3)*9 + 5 }}}
{{{ -1 = -6 + 5 }}}
{{{ -1 = -1 }}}
OK