Question 581667
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-5,-1\right)]. So this means that {{{x[1]=-5}}} and {{{y[1]=-1}}}.

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



{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(-3--1)/(2--5)}}} Plug in {{{y[2]=-3}}}, {{{y[1]=-1}}}, {{{x[2]=2}}}, and {{{x[1]=-5}}}



{{{m=(-2)/(2--5)}}} Subtract {{{-1}}} from {{{-3}}} to get {{{-2}}}



{{{m=(-2)/(7)}}} Subtract {{{-5}}} from {{{2}}} to get {{{7}}}



So the slope of the line that goes through the points *[Tex \LARGE \left(-5,-1\right)] and *[Tex \LARGE \left(2,-3\right)] is {{{m=-2/7}}}