Question 549310
the slope of line {{{ y = 2x - 6 }}} is
{{{ m = 2 }}}.
Any line parallel to this line has same slope
Use point-slope formula
{{{ ( y - 2 ) / ( x - 4 ) = 2 }}}
{{{ y - 2 = 2*( x - 4 ) }}}
{{{ y - 2 = 2x - 8 }}}
{{{ y = 2x - 6 }}} 
This is the same equation. That means that the
point (4,2) is on this line
check:
{{{ 2 = 2*4 - 6 }}}
{{{ 2 = 8 - 6 }}}
{{{ 2 = 2 }}}