Question 701226

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

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



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



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



{{{m=(0)/(-4-4)}}} Subtract {{{1}}} from {{{1}}} to get {{{0}}}



{{{m=(0)/(-8)}}} Subtract {{{4}}} from {{{-4}}} to get {{{-8}}}



{{{m=0}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(4,1\right)] and *[Tex \LARGE \left(-4,1\right)] is {{{m=0}}}