Question 182068
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(2,9\right)] and *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(3,5\right)].



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



{{{m=(5-9)/(3-2)}}} Plug in {{{y[2]=5}}}, {{{y[1]=9}}}, {{{x[2]=3}}}, and {{{x[1]=2}}}



{{{m=(-4)/(3-2)}}} Subtract {{{9}}} from {{{5}}} to get {{{-4}}}



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



{{{m=-4}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(2,9\right)] and *[Tex \LARGE \left(3,5\right)] is {{{m=-4}}}