Question 790830
Use the general point-slope formula
You are given:
( x1,y1) = ( -2,8 )
(x2,y2) = (  2, -10 )
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( y2 - y1 ) / ( x2 - x1 ) = ( y - y1 ) / ( x - x1 ) 
{{{ ( -10 - 8 ) / ( 2 -(-2) ) = ( y - 8 ) / ( x -(-2) ) }}}
{{{ -18 / 4 = ( y - 8 ) / ( x + 2 ) }}}
Multiply both sides by {{{ 4*( x+2 ) }}}
{{{ -18*( x+2 ) = 4*( y - 8 ) }}}
{{{ -9*( x+2 ) = 2*( y - 8 ) }}}
{{{ -9x - 18 = 2y - 16 }}}
{{{ 2y = -9x - 2 }}}
{{{ y = (-9/2)*x - 1 }}}
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check for given points:
(-2,8)
{{{ 8 = (-9/2)*(-2) - 1 }}}
{{{ 8 = 9 - 1 }}}
{{{ 8 = 8 }}}
and
(2,-10)
{{{ -10 = (-9/2)*2 - 1 }}}
{{{ -10 = -9 - 1 }}}
{{{ -10 = -10 }}}
OK