Question 720612
Use the point-slope formula
{{{ ( y - 4 ) / ( x - 3 ) = ( 6 - 4 ) / ( 4 - 3 ) }}}
{{{ ( y - 4 ) / ( x - 3 ) = 2 / 1 }}}
{{{ y - 4 = 2*( x - 3 ) }}}
{{{ y - 4 = 2x - 6 }}}
{{{ y = 2x -2 }}}
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check:
(3,4)
{{{ y = 2x -2 }}}
{{{ 4 = 2*3 -2 }}}
{{{ 4 = 6 - 2 }}}
{{{ 4 = 4 }}}
OK
(4,6)
{{{ 6 = 2*4 - 2 }}}
{{{ 6 = 8 - 2 }}}
{{{ 6 = 6 }}}
OK