Question 147233
Note we're going to let *[Tex \LARGE x_{1}=2], *[Tex \LARGE y_{1}=5], *[Tex \LARGE x_{2}=3], *[Tex \LARGE y_{2}=10]. This means that the two points *[Tex \LARGE \left(x_{1},y_{1}\right)] and *[Tex \LARGE \left(x_{2},y_{2}\right)] are the points (2,5) and (3,10)





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



{{{m=(10-5)/(3-2)}}} Plug in {{{y[2]=10}}}, {{{y[1]=5}}}, {{{x[2]=3}}}, and {{{x[1]=2}}} 



{{{m=(5)/(3-2)}}} Subtract {{{5}}} from {{{10}}} to get {{{5}}}



{{{m=(5)/(1)}}} Subtract {{{2}}} from {{{3}}} to get {{{1}}}



{{{m=5}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(2,5\right)] and *[Tex \LARGE \left(3,10\right)] is {{{m=5}}}