Question 624909

Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(7,2\right)]. So this means that {{{x[1]=7}}} and {{{y[1]=2}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(3,5\right)].  So this means that {{{x[2]=3}}} and {{{y[2]=5}}}.



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



{{{m=(5-2)/(3-7)}}} Plug in {{{y[2]=5}}}, {{{y[1]=2}}}, {{{x[2]=3}}}, and {{{x[1]=7}}}



{{{m=(3)/(3-7)}}} Subtract {{{2}}} from {{{5}}} to get {{{3}}}



{{{m=(3)/(-4)}}} Subtract {{{7}}} from {{{3}}} to get {{{-4}}}



{{{m=-3/4}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(7,2\right)] and *[Tex \LARGE \left(3,5\right)] is {{{m=-3/4}}}