# 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
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.$$y-2=\frac{-5}{3}(x-1)$$

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.

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