Question 627088

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



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



{{{m=(-3)/(-5--1)}}} Subtract {{{-1}}} from {{{-4}}} to get {{{-3}}}



{{{m=(-3)/(-4)}}} Subtract {{{-1}}} from {{{-5}}} to get {{{-4}}}



{{{m=3/4}}} Reduce



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


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