Question 150953


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



{{{m=(-2-6)/(3-1)}}} Plug in {{{y[2]=-2}}}, {{{y[1]=6}}}, {{{x[2]=3}}}, {{{x[1]=1}}}, , 



{{{m=(-8)/(3-1)}}} Subtract {{{6}}} from {{{-2}}} to get {{{-8}}}



{{{m=(-8)/(2)}}} Subtract {{{1}}} from {{{3}}} to get {{{2}}}



{{{m=-4}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(1,6\right)] and *[Tex \LARGE \left(3,-2\right)] is {{{m=-4}}}