Question 1126933
The separation between the line will
have slope {{{ -1/m = -1/2 }}}
If I pick the point ( 0,5 ) which is on
the line {{{ y = 2x + 5 }}}, then:
{{{ ( 5 - y ) / ( 0 - x ) = -1/2 }}}
{{{ 5 - y = (-1/2)*(-x) }}}
{{{ 5 - y = x/2 }}}
{{{ y = (-1/2)*x + 5 }}}
---------------------------
Find intersection of this line with {{{ y = 2x }}}
{{{ 2x = (-1/2)*x + 5 }}}
{{{ (5/2)*x = 5 }}}
{{{ x = 2 }}}
and
{{{ y = 2x }}}
{{{ y = 4 }}}
------------------
find distance between ( 0,5 ) and ( 2,4 )
{{{ d = sqrt( ( 2 - 0 )^2 + ( 4 - 5 )^2 ) }}}
{{{ d = sqrt( 4 + 1 ) }}}
{{{ d = sqrt(5) }}}
----------------------
check the math