Question 169824
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(2--3)/(5--3)}}} Plug in {{{y[2]=2}}}, {{{y[1]=-3}}}, {{{x[2]=5}}}, and {{{x[1]=-3}}}



{{{m=(5)/(5--3)}}} Subtract {{{-3}}} from {{{2}}} to get {{{5}}}



{{{m=(5)/(8)}}} Subtract {{{-3}}} from {{{5}}} to get {{{8}}}



So the slope of the line that goes through the points *[Tex \LARGE \left(-3,-3\right)] and *[Tex \LARGE \left(5,2\right)] is {{{m=5/8}}}