Question 172886
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(-1-4)/(-4--10)}}} Plug in {{{y[2]=-1}}}, {{{y[1]=4}}}, {{{x[2]=-4}}}, and {{{x[1]=-10}}}



{{{m=(-5)/(-4--10)}}} Subtract {{{4}}} from {{{-1}}} to get {{{-5}}}



{{{m=(-5)/(6)}}} Subtract {{{-10}}} from {{{-4}}} to get {{{6}}}



So the slope of the line that goes through the points *[Tex \LARGE \left(-10,4\right)] and *[Tex \LARGE \left(-4,-1\right)] is {{{m=-5/6}}}