Question 641105
I'll do the first one to get you started.


Only post one problem at a time please. Thank you.


Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-9,-10\right)]. So this means that {{{x[1]=-9}}} and {{{y[1]=-10}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-14,-17\right)].  So this means that {{{x[2]=-14}}} and {{{y[2]=-17}}}.



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



{{{m=(-17--10)/(-14--9)}}} Plug in {{{y[2]=-17}}}, {{{y[1]=-10}}}, {{{x[2]=-14}}}, and {{{x[1]=-9}}}



{{{m=(-7)/(-14--9)}}} Subtract {{{-10}}} from {{{-17}}} to get {{{-7}}}



{{{m=(-7)/(-5)}}} Subtract {{{-9}}} from {{{-14}}} to get {{{-5}}}



{{{m=7/5}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-9,-10\right)] and *[Tex \LARGE \left(-14,-17\right)] is {{{m=7/5}}}