Question 404712
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(7-8)/(-4-2)}}} Plug in {{{y[2]=7}}}, {{{y[1]=8}}}, {{{x[2]=-4}}}, and {{{x[1]=2}}}



{{{m=(-1)/(-4-2)}}} Subtract {{{8}}} from {{{7}}} to get {{{-1}}}



{{{m=(-1)/(-6)}}} Subtract {{{2}}} from {{{-4}}} to get {{{-6}}}



{{{m=1/6}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(2,8\right)] and *[Tex \LARGE \left(-4,7\right)] is {{{m=1/6}}}



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