Question 577130
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(10-5)/(4-3)}}} Plug in {{{y[2]=10}}}, {{{y[1]=5}}}, {{{x[2]=4}}}, and {{{x[1]=3}}}



{{{m=(5)/(4-3)}}} Subtract {{{5}}} from {{{10}}} to get {{{5}}}



{{{m=(5)/(1)}}} Subtract {{{3}}} from {{{4}}} to get {{{1}}}



{{{m=5}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(3,5\right)] and *[Tex \LARGE \left(4,10\right)] is {{{m=5}}}