Question 658977
Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(1,0\right)]. So this means that {{{x[1]=1}}} and {{{y[1]=0}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(0,1\right)].  So this means that {{{x[2]=0}}} and {{{y[2]=1}}}.



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



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



{{{m=(1)/(0-1)}}} Subtract {{{0}}} from {{{1}}} to get {{{1}}}



{{{m=(1)/(-1)}}} Subtract {{{1}}} from {{{0}}} to get {{{-1}}}



{{{m=-1}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(1,0\right)] and *[Tex \LARGE \left(0,1\right)] is {{{m=-1}}}



So there's either a typo in the answer choices or the two points are something other than (1,0) and (0,1). Double check both.