Question 173078
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(0-2)/(0-3)}}} Plug in {{{y[2]=0}}}, {{{y[1]=2}}}, {{{x[2]=0}}}, and {{{x[1]=3}}}



{{{m=(-2)/(0-3)}}} Subtract {{{2}}} from {{{0}}} to get {{{-2}}}



{{{m=(-2)/(-3)}}} Subtract {{{3}}} from {{{0}}} to get {{{-3}}}



{{{m=2/3}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(3,2\right)] and *[Tex \LARGE \left(0,0\right)] is {{{m=2/3}}}