Question 159206


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



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



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



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



So the slope of the line that goes through the points *[Tex \LARGE \left(-2,3\right)] and *[Tex \LARGE \left(3,1\right)] is {{{m=-2/5}}}