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)

Question

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)

Answer 1

Solution to this example is given below $y - y_{1} = m (x - x_{1})$
Usepoint-slope form
$y - 1 = \frac{- 3}{5} (x - 2)$
Substibute (2,1)
for $(x_{1}, y_{1})$ and $\frac{- 3}{5}$ for m
$y - 1 = \frac{- 3}{5} (x - 2)$
Simplify
Results: A.

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)

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