Question 678688
The distance formula is:
{{{ d = sqrt( ( x[2] - x[1] )^2 + ( y[2] - y[1] )^2 ) }}}
given:
P1 ( -2,-5 )
P2 ( -2, 3 )
{{{ d = sqrt( ( -2 -(-2) )^2 + ( 3 -(-5) )^2 ) }}}
{{{ d = sqrt(  (-2 + 2  )^2 + ( 3 + 5 )^2 ) }}}
{{{ d = sqrt(  0^2 + 8^2 ) }}}
{{{ d = sqrt( 8^2 ) }}}
{{{ d = 8 }}}
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The slope is ( change in y ) / ( change in x )
slope = {{{ ( 3 - (-5) ) / ( -2 - ( -2 ) ) }}}
slope = {{{ ( 3 + 5 ) / ( -2 + 2 ) }}}
slope = {{{ 8 / 0 }}}
When {{{ 0 }}} is in the denominator of a slope, that
means the slope is infinite, and that means it is a vertical line 
through ( -2, y ) where y can be anything