Question 943990
Use the general point-slope formula:
{{{ ( y - 3 ) / ( x - 2 ) = ( 8 - 3 ) / ( 8 - 2 ) }}}
{{{ ( y - 3 ) / ( x - 2 ) = 5/6 }}}
Multiply both sides by {{{ 6*( x - 2 ) }}}
{{{ 6*( y - 3 ) = 5*( x - 2 ) }}}
{{{ 6y - 18 = 5x - 10 }}}
{{{ 6y = 5x + 8 }}}
{{{ y = ( 5/6 )*x + 4/3 }}}
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check:
(2,3)
{{{ 3 = ( 5/6 )*2 + 4/3 }}}
{{{ 18 = 10 + 8 }}}
{{{ 18 = 18 }}}
and
( 8,8 )
{{{ 8 = ( 5/6 )*8 + 4/3 }}}
{{{ 48 = 40 + 8 }}}
{{{ 48 = 48 }}}
OK
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The standard form is:
{{{ 6y - 18 = 5x - 10 }}}
{{{ 5x - 6y = -8 }}}
( you can check it )