Question 407405
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



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



{{{m=(-5)/(3--2)}}} Subtract {{{1}}} from {{{-4}}} to get {{{-5}}}



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



{{{m=-1}}} Reduce



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



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