# How do you write the equation in point slope form given (-3,-5) and (3,-15)?

How do you write the equation in point slope form given (-3,-5) and (3,-15)?
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Francis Blanchard
Point slope form is $\left(y-{y}_{1}\right)=m\left(x-{x}_{1}\right)$
First, find the slope by using $m=\frac{{y}_{1}-{y}_{2}}{{x}_{1}-{x}_{2}}$
$\frac{-15+5}{3+3}=-\frac{10}{6}=-\frac{5}{3}=m$
Then, choose one of the coordinate pairs (let's use −3,−5) and plug those in for ${y}_{1}$ and ${x}_{1}$ and also plug in the slope for m.
We get: $\left(y+5\right)=-\frac{5}{3}\left(x+3\right)$