Answered

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

A. Y-3/4=1/3 (x-4)
B. Y-1/3=3/4(x-4)
C.y-1/3=4(x-3/4)
D.y-4=3/4(x-1/3)

Answer :

gmany

Answer:

[tex]\large\boxed{B.\ y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)}[/tex]

Step-by-step explanation:

The point-slope form of an equation:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have

[tex]m=\dfrac{3}{4},\ \left(4,\ \dfrac{1}{3}\right)[/tex]

Substitute:

[tex]y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)[/tex]

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