Question 353991
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(3,4\right)]. So this means that {{{x[1]=3}}} and {{{y[1]=4}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-2,1\right)].  So this means that {{{x[2]=-2}}} and {{{y[2]=1}}}.



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



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



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



{{{m=(-3)/(-5)}}} Subtract {{{3}}} from {{{-2}}} to get {{{-5}}}



{{{m=3/5}}} Reduce



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



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