Question 1009319
Use point-slope formula
{{{ (( z - 2 ) - 5 ) / ( ( z+ 4 ) - 5 ) = -1/2 }}}
{{{ ( z - 7 ) / ( z - 1 ) = -1/2 }}}
Multiply both sides by {{{ 2*( z - 1 ) }}}
{{{ 2*( z - 7 ) = -1*( z - 1 ) }}}
{{{ 2z - 14 = -z + 1 }}}
{{{ 3z = 15 }}}
{{{ z = 5 }}}
and
{{{ z+ 4 = 9 }}}
{{{ z - 2 = 3 }}}
--------------
The co-ordinates of the 2nd point are:
( 9,3 )
--------------
check answer:
{{{ ( z - 7 ) / ( z - 1 ) = -1/2 }}}
{{{ ( 5 - 7 ) / ( 5 - 1 ) = -1/2 }}}
{{{ -2/4 = -1/2 }}}
{{{ -1/2 = -1/2 }}}
OK