Question 1018279
Use the general point-slope formula
(-5,2 )
( 4,-5 )
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{{{ ( y - (-5) ) / ( x - 4 ) = ( 2 - (-5) ) / ( -5 - 4 ) }}}
{{{ ( y + 5 ) / ( x - 4 ) = ( 2 + 5 ) / ( -9 ) }}}
{{{ ( y + 5 ) / ( x - 4 ) = 7/ ( -9 ) }}}
{{{ (-9)*( y + 5 ) = 7*( x - 4 ) }}}
{{{ -9y - 45 = 7x - 28 }}}
{{{ -9y = 7x - 28 + 45 }}}
{{{ -9y = 7x + 17 }}}
{{{ 7x + 9y = -17 }}}
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check:
(-5, 2 )
{{{ 7x + 9y = -17 }}}
{{{ 7*(-5) + 9*2 = -17 }}}
{{{ -35 + 18 = -17 }}}
{{{ -17 = -17 }}}
( 4,-5 )
{{{ 7x + 9y = -17 }}}
{{{ 7*4 + 9*(-5) = -17 }}}
{{{ 28 - 45 = -17 }}}
{{{ -17 = -17 }}}
OK