Question 688930
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(6,7\right)]. So this means that {{{x[1]=6}}} and {{{y[1]=7}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-2,7\right)].  So this means that {{{x[2]=-2}}} and {{{y[2]=7}}}.



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



{{{m=(7-7)/(-2-6)}}} Plug in {{{y[2]=7}}}, {{{y[1]=7}}}, {{{x[2]=-2}}}, and {{{x[1]=6}}}



{{{m=(0)/(-2-6)}}} Subtract {{{7}}} from {{{7}}} to get {{{0}}}



{{{m=(0)/(-8)}}} Subtract {{{6}}} from {{{-2}}} to get {{{-8}}}



{{{m=0}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(6,7\right)] and *[Tex \LARGE \left(-2,7\right)] is {{{m=0}}}