Question 612496
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(5,-4\right)]. So this means that {{{x[1]=5}}} and {{{y[1]=-4}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-20,-3\right)].  So this means that {{{x[2]=-20}}} and {{{y[2]=-3}}}.



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



{{{m=(-3--4)/(-20-5)}}} Plug in {{{y[2]=-3}}}, {{{y[1]=-4}}}, {{{x[2]=-20}}}, and {{{x[1]=5}}}



{{{m=(1)/(-20-5)}}} Subtract {{{-4}}} from {{{-3}}} to get {{{1}}}



{{{m=(1)/(-25)}}} Subtract {{{5}}} from {{{-20}}} to get {{{-25}}}



{{{m=-1/25}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(5,-4\right)] and *[Tex \LARGE \left(-20,-3\right)] is {{{m=-1/25}}}



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