Question 1079739
( x,5 ), ( 2,8 )
The slope is [ change in y ] / [ change in x ]
{{{ ( 8 - 5 ) / ( 2 - x ) = -3 }}}
{{{ 3 / ( 2 - x ) = -3 }}}
Multiply both sides by {{{ 2-x }}}
{{{ 3 = -3*( 2 - x ) }}}
{{{ 3 = -6 + 3x }}}
{{{ 3x = 3 + 6 }}}
{{{ 3x = 9 }}}
{{{ x = 3 }}}
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check answer:
{{{ ( 8 - 5 ) / ( 2 - x ) = -3 }}}
{{{ ( 8 - 5 ) / ( 2 - 3 ) = -3 }}}
{{{ 3 / (-1) = -3 }}}
{{{ 3 = (-1)*(-3) }}}
{{{ 3 = 3 }}}
OK