Question 1056411
( -2, 1 )
( 3, 3 ) 
Use the general point-slope formula
{{{ ( y - 1 ) / ( x -(-2) ) = ( 3 - 1 ) / ( 3 -(-2) ) }}}
{{{ ( y - 1 ) / ( x -(-2) ) = 2 / 5 }}}
{{{ ( y - 1 ) / ( x + 2 ) = 2/5 }}}
Multiply both sides by {{{ 5*( x + 2 ) }}}
{{{ 5*( y - 1 ) = 2*( x + 2 ) }}}
{{{ 5y - 5 = 2x + 4 }}}
{{{ 5y = 2x + 9 }}}
{{{ y = (2/5)*x + 9/5 }}}
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check answer:
( -2, 1 )
{{{ 1 = (2/5)*(-2) + 9/5 }}}
{{{ 1 = -4/5 + 9/5 }}}
{{{ 1 = 5/5 }}}
{{{ 1 = 1 }}}
OK
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( 3, 3 )
{{{ 3 = (2/5)*3 + 9/5 }}}
{{{ 3 = 6/5 + 9/5 }}}
{{{ 3 = 15/5 }}}
{{{ 3 = 3 }}}
OK