Question 449023
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(-4-5)/(2--2)}}} Plug in {{{y[2]=-4}}}, {{{y[1]=5}}}, {{{x[2]=2}}}, and {{{x[1]=-2}}}



{{{m=(-9)/(2--2)}}} Subtract {{{5}}} from {{{-4}}} to get {{{-9}}}



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



So the slope of the line that goes through the points *[Tex \LARGE \left(-2,5\right)] and *[Tex \LARGE \left(2,-4\right)] is {{{m=-9/4}}}