Question 698069

Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-2,-4\right)]. So this means that {{{x[1]=-2}}} and {{{y[1]=-4}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(2,4\right)].  So this means that {{{x[2]=2}}} and {{{y[2]=4}}}.



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



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



{{{m=(8)/(2--2)}}} Subtract {{{-4}}} from {{{4}}} to get {{{8}}}



{{{m=(8)/(4)}}} Subtract {{{-2}}} from {{{2}}} to get {{{4}}}



{{{m=2}}} Reduce



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