Question 244030

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



{{{m=(-4-5)/(5--1)}}} Plug in {{{y[2]=-4}}}, {{{y[1]=5}}}, {{{x[2]=5}}}, and {{{x[1]=-1}}}



{{{m=(-9)/(5--1)}}} Subtract {{{5}}} from {{{-4}}} to get {{{-9}}}



{{{m=(-9)/(6)}}} Subtract {{{-1}}} from {{{5}}} to get {{{6}}}



{{{m=-3/2}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-1,5\right)] and *[Tex \LARGE \left(5,-4\right)] is {{{m=-3/2}}}