Question 579423
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(8-4)/(2-0)}}} Plug in {{{y[2]=8}}}, {{{y[1]=4}}}, {{{x[2]=2}}}, and {{{x[1]=0}}}



{{{m=(4)/(2-0)}}} Subtract {{{4}}} from {{{8}}} to get {{{4}}}



{{{m=(4)/(2)}}} Subtract {{{0}}} from {{{2}}} to get {{{2}}}



{{{m=2}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(0,4\right)] and *[Tex \LARGE \left(2,8\right)] is {{{m=2}}}