Question 120730
First let's find the slope through the points (0, 5) and (-3 ,- 4)


*[invoke slope 0,5,-3,-4]


If you're given a slope of {{{m=3}}}, you can find the perpendicular slope by negating and inverting the given slope.


In other words, use this formula to find the perpendicular slope:

{{{m[p]=-1/m}}} where m is the given slope and {{{m[p]}}} is the perpendicular slope


{{{m[p]=-1/(3/1)}}} plug in {{{m=3/1}}} (note: remember {{{3}}} really looks like {{{3/1}}})


{{{m[p]=(-1/1)(1/3)}}} Flip the second fraction and multiply


{{{m[p]=-1/3}}} Multiply



Answer:


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