Question 916295

the slope of a line perpendicular to the line {{{2y=x+5}}}

first find the slope of given line

{{{2y=x+5}}}

{{{y=x/2+5/2}}}

{{{y=(1/2)x+5/2}}} => the slope is {{{m=1/2}}}

the slope of a line perpendicular line {{{m[p]}}} is negative reciprocal to {{{m}}}

{{{m[p]=-1/(1/2)}}}

{{{m[p]=-1*2/1}}}

{{{m[p]=-2}}}...the slope of a line perpendicular line