Question 750423
(7,-2) and (-6,6)
Use the general point-slope formula
{{{ ( y - 6 ) / ( x -(-6 )) = ( -2 - 6 ) / ( 7 -(-6)) }}}
{{{ ( y - 6 ) / ( x + 6 ) = -8 / 13 }}}
Multiply both sides by {{{ 13*( x+6 ) }}}
{{{ 13*( y - 6 ) = -8*( x + 6 ) }}}
{{{ 13y - 78 = -8x - 48 }}}
{{{ 13y = -8x + 30 }}}
{{{ y = (-8/13)*x + 30/13 }}}
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check answer:
( 7,-2)
{{{ y = (-8/13)*x + 30/13 }}}
{{{ -2 = (-8/13)*7 + 30/13 }}}
{{{ -26 = -56 + 30 }}}
{{{ -26 = -26 }}}
You can check other point