Question 610342
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(2,3\right)]. So this means that {{{x[1]=2}}} and {{{y[1]=3}}}.

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



{{{m=(-2)/(4-2)}}} Subtract {{{3}}} from {{{1}}} to get {{{-2}}}



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



{{{m=-1}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(2,3\right)] and *[Tex \LARGE \left(4,1\right)] is {{{m=-1}}}



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