Question 197699

Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-4,-8\right)] and *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-4,2\right)].



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



{{{m=(2--8)/(-4--4)}}} Plug in {{{y[2]=2}}}, {{{y[1]=-8}}}, {{{x[2]=-4}}}, and {{{x[1]=-4}}}



{{{m=(10)/(-4--4)}}} Subtract {{{-8}}} from {{{2}}} to get {{{10}}}



{{{m=(10)/(0)}}} Subtract {{{-4}}} from {{{-4}}} to get {{{0}}}



Remember, you <b>cannot</b> divide by zero. 



So this means that the slope is undefined.