Question 750229
( -5, -2 ) and ( 3, -1 )
The slope is ( change in y ) / ( change in x )
{{{ m = ( -1 -(-2) ) / ( 3 -(-5) ) }}}
{{{ m = ( -1 + 2 ) / ( 3 + 5 ) }}}
{{{ m = 1/8 }}}
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Use the general point-slope formula
{{{ ( y - (-2) ) / ( x - (-5) ) = 1/8 }}}
{{{ ( y + 2 ) / ( x + 5 ) = 1/8 }}}
{{{ y + 2 = (1/8)*( x + 5 ) }}}
{{{ 8y + 16 = x + 5 }}}
{{{ 8y = x - 11 }}}
{{{ y = (1/8)*x - 11/8 }}}
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check:
Does it go through (-5, -2) ?
{{{ y = (1/8)*x - 11/8 }}}
{{{ -2 = (1/8)*(-5) - 11/8 }}}
{{{ -16 = -5 - 11 }}}
{{{ -16 = -16 }}}
OK
and
Does it go through ( 3,-1 )?
{{{ -1 = (1/8)*3 - 11/8 }}}
{{{ -8 = 3 - 11 }}}
{{{ -8 = -8 }}}
OK