Question 923373
(-1,-3) and (3,3)
Use the general point-slope formula:
{{{ ( y - (-3) ) / ( x - (-1) ) = ( 3 -(-3) ) / ( 3 -(-1) ) }}}
{{{ ( y + 3 ) / ( x + 1 ) = ( 3 + 3 ) / ( 3 + 1 ) }}}
{{{ ( y + 3 ) / ( x + 1 ) = 6/4 }}}
{{{ ( y + 3 ) / ( x + 1 ) = 3/2 }}}
Multiply both sides by {{{ 2*( x+1 ) }}}
{{{ 2*( y + 3 ) = 3*( x + 1 ) }}}
{{{ 2y + 6 = 3x + 3 }}}
{{{ 3x - 2y = 3 }}}
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check:
does it go through (-1,-3)?
{{{ 3x - 2y = 3 }}}
{{{ 3*(-1) - 2*(-3) = 3 }}}
{{{ -3 -( -6 ) = 3 }}}
{{{ -3 + 6 = 3 }}}
{{{ 3 = 3 }}}
does it go through ( 3,3 )?
{{{ 3x - 2y = 3 }}}
{{{ 3*3 - 2*3 = 3 }}}
{{{ 9 - 6 = 3 }}}
{{{ 3 = 3 }}}
OK