Question 182083
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(2,1\right)] and *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(10,-7\right)].



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



{{{m=(-7-1)/(10-2)}}} Plug in {{{y[2]=-7}}}, {{{y[1]=1}}}, {{{x[2]=10}}}, and {{{x[1]=2}}}



{{{m=(-8)/(10-2)}}} Subtract {{{1}}} from {{{-7}}} to get {{{-8}}}



{{{m=(-8)/(8)}}} Subtract {{{2}}} from {{{10}}} to get {{{8}}}



{{{m=-1}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(2,1\right)] and *[Tex \LARGE \left(10,-7\right)] is {{{m=-1}}}