Question 1084156
Use general point-slope formula
{{{ ( y - 5 ) / ( x - 4 ) = ( 8 - 5 ) / ( 6 - 4 ) }}}
{{{ ( y - 5 ) / ( x - 4 ) = 3 / 2 }}}
{{{ 2*( y - 5 ) = 3*( x - 4 ) }}}
{{{ 2y - 10 = 3x - 12 }}}
{{{ 2y = 3x - 2 }}}
{{{ y = (3/2)*x - 1 }}}
------------------------
check:
( 4,5)
{{{ 5 = (3/2)*4 - 1 }}}
{{{ 5 = 6 - 1 }}}
{{{ 5 = 5 }}}
------------------
(6,8)
{{{ 8 = (3/2)*6 - 1 }}}
{{{ 8 = 9 - 1 }}}
{{{ 8 = 8 }}}
OK