Question 98469
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula (note: *[Tex \Large \left(x_{1},y_{1}\right)] is the first point ({{{-3}}},{{{2}}}) and  *[Tex \Large \left(x_{2},y_{2}\right)] is the second point ({{{4}}},{{{1}}}))


{{{m=(1-2)/(4--3)}}} Plug in {{{y[2]=1}}},{{{y[1]=2}}},{{{x[2]=4}}},{{{x[1]=-3}}}  (these are the coordinates of given points)


{{{m= -1/7}}} Subtract the terms in the numerator {{{1-2}}} to get {{{-1}}}.  Subtract the terms in the denominator {{{4--3}}} to get {{{7}}}

  

So the slope is

{{{m=-1/7}}}