Question 423322


First let's find the slope of the line through the points *[Tex \LARGE \left(-4,-5\right)] and *[Tex \LARGE \left(-4,5\right)]



Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-4,-5\right)]. So this means that {{{x[1]=-4}}} and {{{y[1]=-5}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-4,5\right)].  So this means that {{{x[2]=-4}}} and {{{y[2]=5}}}.



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



{{{m=(5--5)/(-4--4)}}} Plug in {{{y[2]=5}}}, {{{y[1]=-5}}}, {{{x[2]=-4}}}, and {{{x[1]=-4}}}



{{{m=(10)/(-4--4)}}} Subtract {{{-5}}} from {{{5}}} 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.



Since the slope is undefined, this means that the equation of the line through the points *[Tex \LARGE \left(-4,-5\right)] and *[Tex \LARGE \left(-4,5\right)] is {{{x=-4}}}.



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