Question 174843


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



{{{m=(-6--8)/(3-4)}}} Plug in {{{y[2]=-6}}}, {{{y[1]=-8}}}, {{{x[2]=3}}}, and {{{x[1]=4}}}



{{{m=(2)/(3-4)}}} Subtract {{{-8}}} from {{{-6}}} to get {{{2}}}



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



{{{m=-2}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(4,-8\right)] and *[Tex \LARGE \left(3,-6\right)] is {{{m=-2}}}