Question 763536

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



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



{{{m=(2)/(7--1)}}} Subtract {{{-5}}} from {{{-3}}} to get {{{2}}}



{{{m=(2)/(8)}}} Subtract {{{-1}}} from {{{7}}} to get {{{8}}}



{{{m=1/4}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-1,-5\right)] and *[Tex \LARGE \left(7,-3\right)] is {{{m=1/4}}}