Question 596038
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(1,4\right)]. So this means that {{{x[1]=1}}} and {{{y[1]=4}}}.

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



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



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



{{{m=(-6)/(-1-1)}}} Subtract {{{4}}} from {{{-2}}} to get {{{-6}}}



{{{m=(-6)/(-2)}}} Subtract {{{1}}} from {{{-1}}} to get {{{-2}}}



{{{m=3}}} Reduce



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