## Question

###### Find the slope of the line that passes through two points (4,6) and (-3,5) m=

find the slope of the line that passes through two points

(4,6) and (-3,5)

m=?

(4,6) and (-3,5)

m=?

## Answers

Note: *[Tex LARGE left(x_{1}, y_{1}right)] is the first point *[Tex LARGE left(4,6right)]. So this means that {{{x[1]=4}}} and {{{y[1]=6}}}. Also, *[Tex LARGE left(x_{2}, y_{2}right)] is the second point *[Tex LARGE left(-3,5right)]. So this means that {{{x[2]=-3}}} and {{{y[2]=5}}}. {{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula. {{{m=(5-6)/(-3-4)}}} Plug in {{{y[2]=5}}}, {{{y[1]=6}}}, {{{x[2]=-3}}}, and {{{x[1]=4}}} {{{m=(-1)/(-3-4)}}} Subtract {{{6}}} from {{{5}}} to get {{{-1}}} {{{m=(-1)/(-7)}}} Subtract {{{4}}} from {{{-3}}} to get {{{-7}}} {{{m=1/7}}} Reduce So the slope of the line that goes through the points *[Tex LARGE left(4,6right)] and *[Tex LARGE left(-3,5right)] is {{{m=1/7}}}

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