Question 831030

which line is perpendicular to the line {{{ y=5x/6+3}}} or better this way {{{y=(5/6)x+3}}} 

as you know, two perpendicular lines have slopes that are negative reciprocal of each other

since your line {{{ y=5x/6+3}}}  has a slope {{{ 5/6}}}, than we need a line that has  a slope {{{ -6/5}}}

so, answer is
 

4){{{ -(6/5)x+11 }}}

see them on a graph


{{{ graph( 600, 600, -10, 10, -10, 10, (5/6)x+3, -(6/5)x+11) }}}