Question 765547

Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-2,7\right)]. So this means that {{{x[1]=-2}}} and {{{y[1]=7}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-9,-4\right)].  So this means that {{{x[2]=-9}}} and {{{y[2]=-4}}}.



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



{{{m=(-4-7)/(-9--2)}}} Plug in {{{y[2]=-4}}}, {{{y[1]=7}}}, {{{x[2]=-9}}}, and {{{x[1]=-2}}}



{{{m=(-11)/(-9--2)}}} Subtract {{{7}}} from {{{-4}}} to get {{{-11}}}



{{{m=(-11)/(-7)}}} Subtract {{{-2}}} from {{{-9}}} to get {{{-7}}}



{{{m=11/7}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-2,7\right)] and *[Tex \LARGE \left(-9,-4\right)] is {{{m=11/7}}}