Question 151371


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



{{{m=(-8-5)/(5--11)}}} Plug in {{{y[2]=-8}}}, {{{y[1]=5}}}, {{{x[2]=5}}}, {{{x[1]=-11}}}, , 



{{{m=(-13)/(5--11)}}} Subtract {{{5}}} from {{{-8}}} to get {{{-13}}}



{{{m=(-13)/(16)}}} Subtract {{{-11}}} from {{{5}}} to get {{{16}}}



So the slope of the line that goes through the points *[Tex \LARGE \left(-11,5\right)] and *[Tex \LARGE \left(5,-8\right)] is {{{m=-13/16}}}