Question 613728
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(2,-4\right)]. So this means that {{{x[1]=2}}} and {{{y[1]=-4}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-3,-4\right)].  So this means that {{{x[2]=-3}}} and {{{y[2]=-4}}}.



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



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



{{{m=(0)/(-3-2)}}} Subtract {{{-4}}} from {{{-4}}} to get {{{0}}}



{{{m=(0)/(-5)}}} Subtract {{{2}}} from {{{-3}}} to get {{{-5}}}



{{{m=0}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(2,-4\right)] and *[Tex \LARGE \left(-3,-4\right)] is {{{m=0}}}


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