Question 238640
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-7,-5\right)]. So this means that {{{x[1]=-7}}} and {{{y[1]=-5}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(9,-5\right)].  So this means that {{{x[2]=9}}} and {{{y[2]=-5}}}.



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



{{{m=(-5--5)/(9--7)}}} Plug in {{{y[2]=-5}}}, {{{y[1]=-5}}}, {{{x[2]=9}}}, and {{{x[1]=-7}}}



{{{m=(0)/(9--7)}}} Subtract {{{-5}}} from {{{-5}}} to get {{{0}}}



{{{m=(0)/(16)}}} Subtract {{{-7}}} from {{{9}}} to get {{{16}}}



{{{m=0}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-7,-5\right)] and *[Tex \LARGE \left(9,-5\right)] is {{{m=0}}}