Question 150951


{{{12x-4y=7}}} Start with the given equation.



{{{-4y=7-12x}}} Subtract {{{12x}}} from both sides.



{{{y=(7-12x)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{y}}}.



{{{y=3x-7/4}}} Simplify.



So the equation is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=3}}} or {{{m=3/1}}}. So the perpendicular slope is the negative reciprocal of {{{m=3/1}}}. In other words, flip {{{3/1}}} to get {{{1/3}}}. Now change the sign to get {{{-1/3}}}



So the perpendicular slope is {{{-1/3}}}