# Write an equation in point-slope form for the given (-3, 2) and (2, 1)

Write an equation in point-slope form for the given (-3, 2) and (2, 1)
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Determine slope between (−3,2) and (2,1)
$m=\frac{\Delta y}{\Delta x}=\frac{2-1}{-3-2}=-\frac{1}{5}$

Insert values into point-slope form
The general point-slope form is
$\left(y-\stackrel{^}{y}\right)=m\left(x-\stackrel{^}{x}\right)$
Using the calculated slope and the point (2,1) this becomes
$\left(y-1\right)=-\frac{1}{5}\left(x-2\right)$
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