Question 309284
Hint: The slope equation is {{{m=(y[2]-y[1])/(x[2]-x[1])}}}



*[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-7,n\right)]. So this means that {{{x[1]=-7}}} and {{{y[1]=n}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(3,-27\right)].  So this means that {{{x[2]=3}}} and {{{y[2]=-27}}}.



We're given a slope of {{{-5/2}}}. So {{{m=-5/2}}}. Plug all of this info into the given formula at the top to get



{{{-5/2=(-27-n)/(3--7)}}}



To make things simpler, you can rewrite {{{3--7}}} as {{{3+7}}} to get 



{{{-5/2=(-27-n)/(3+7)}}}



From here, solve the equation for 'n'.