Question 189715
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-16,-12\right)] and *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-17,-19\right)].



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



{{{m=(-19--12)/(-17--16)}}} Plug in {{{y[2]=-19}}}, {{{y[1]=-12}}}, {{{x[2]=-17}}}, and {{{x[1]=-16}}}



{{{m=(-7)/(-17--16)}}} Subtract {{{-12}}} from {{{-19}}} to get {{{-7}}}



{{{m=(-7)/(-1)}}} Subtract {{{-16}}} from {{{-17}}} to get {{{-1}}}



{{{m=7}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-16,-12\right)] and *[Tex \LARGE \left(-17,-19\right)] is {{{m=7}}}