# A line passes through the point (2, 1) and has a slope of frac{-3}{5}. What is an equation of the line? A.y-1=frac{-3}{5}(x-2) B.y-1=frac{-5}{3}(x-2) C.y-2=frac{-3}{5}(x-1) D.y-2=frac{-5}{3}(x-1)

A line passes through the point (2, 1) and has a slope of $\frac{-3}{5}$.
What is an equation of the line?
A.$y-1=\frac{-3}{5}\left(x-2\right)$
B.$y-1=\frac{-5}{3}\left(x-2\right)$
C.$y-2=\frac{-3}{5}\left(x-1\right)$
D.$y-2=\frac{-5}{3}\left(x-1\right)$
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Solution to this example is given below $y-{y}_{1}=m\left(x-{x}_{1}\right)$
Usepoint-slope form
$y-1=\frac{-3}{5}\left(x-2\right)$
Substibute (2,1)
for $\left({x}_{1},{y}_{1}\right)$ and $\frac{-3}{5}$ for m
$y-1=\frac{-3}{5}\left(x-2\right)$
Simplify
Results: A.