Question 183689

Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(-8,-17\right)] and *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(-10,-19\right)].



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



{{{m=(-19--17)/(-10--8)}}} Plug in {{{y[2]=-19}}}, {{{y[1]=-17}}}, {{{x[2]=-10}}}, and {{{x[1]=-8}}}



{{{m=(-2)/(-10--8)}}} Subtract {{{-17}}} from {{{-19}}} to get {{{-2}}}



{{{m=(-2)/(-2)}}} Subtract {{{-8}}} from {{{-10}}} to get {{{-2}}}



{{{m=1}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-8,-17\right)] and *[Tex \LARGE \left(-10,-19\right)] is {{{m=1}}}