Question 383204


First let's find the slope of the line through the points *[Tex \LARGE \left(1,-8\right)] and *[Tex \LARGE \left(1,3\right)]



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



{{{m=(3--8)/(1-1)}}} Plug in {{{y[2]=3}}}, {{{y[1]=-8}}}, {{{x[2]=1}}}, and {{{x[1]=1}}}



{{{m=(11)/(1-1)}}} Subtract {{{-8}}} from {{{3}}} to get {{{11}}}



{{{m=(11)/(0)}}} Subtract {{{1}}} from {{{1}}} to get {{{0}}}



Remember, you <b>cannot</b> divide by zero. So this means that the slope is undefined.



Since the slope is undefined, this means that the equation of the line through the points *[Tex \LARGE \left(1,-8\right)] and *[Tex \LARGE \left(1,3\right)] is {{{x=1}}}.