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}(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
Linear equations and graphs
asked 2020-11-20
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.\(y-2=\frac{-5}{3}(x-1)\)

Answers (1)

2020-11-21
Solution to this example is given below \(y-y1=m(x-x1)\)
Usepoint-slope form
\(y-1=\frac{-3}{5}(x-2)\)
Substibute (2,1)
for(x1,y1) and \(\frac{-3}{5}\) for m
\(y-1=\frac{-3}{5}(x-2)\)
Simplify
Results: A.
0

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