Question 201214
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(9,4\right)] and *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-7,4\right)].



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



{{{m=(4-4)/(-7-9)}}} Plug in {{{y[2]=4}}}, {{{y[1]=4}}}, {{{x[2]=-7}}}, and {{{x[1]=9}}}



{{{m=(0)/(-7-9)}}} Subtract {{{4}}} from {{{4}}} to get {{{0}}}



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



{{{m=0}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(9,4\right)] and *[Tex \LARGE \left(-7,4\right)] is {{{m=0}}}