Question 169830
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(1-4)/(2--3)}}} Plug in {{{y[2]=1}}}, {{{y[1]=4}}}, {{{x[2]=2}}}, and {{{x[1]=-3}}}



{{{m=(-3)/(2--3)}}} Subtract {{{4}}} from {{{1}}} to get {{{-3}}}



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



So the slope of the line that goes through the points *[Tex \LARGE \left(-3,4\right)] and *[Tex \LARGE \left(2,1\right)] is {{{m=-3/5}}}