Question 945598
 the equation of a line passing through ({{{0}}}, {{{0}}}) and 
(i) parallel,  to the line {{{x – 2 = 0 }}}=>{{{x =2  }}} -this is a line parallel to {{{y-axis}}}
that goes trough {{{x =2  }}}
so, only line that is  parallel to {{{y-axis}}} and passing through  ({{{0}}}, {{{0}}})  is {{{y-axis}}} itself


(ii) perpendicular to the line {{{x =2  }}} that passing through  ({{{0}}}, {{{0}}})  is {{{x-axis}}} itself

{{{drawing( 600, 600, -10, 10, -10, 10,circle(0,0,.12),locate(0,0,p(0,0)),
red(line(0,10,0,-10)),blue(line(2,10,2,-10)), graph( 600, 600, -10, 10, -10, 10,0 )) }}}