Question 148848

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



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



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



{{{m=(3)/(0+3)}}} Rewrite {{{0--3}}} as {{{0+3}}}



{{{m=(3)/(3)}}} Add {{{0}}} to {{{3}}} to get {{{3}}}



{{{m=1}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-3,0\right)] and *[Tex \LARGE \left(0,3\right)] is {{{m=1}}}