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

y – 3/4 = 1/3(x – 4)
y – 1/3 = 3/4(x – 4)
y – 1/3 = 4(x – 3/4 )
y – 4 = 3/4(x – 3/4 )

Respuesta :

texaschic101
y - y1 = m(x - x1)
slope(m) = 3/4
(4,1/3)....x1 = 4 and y1 = 1/3
now we sub
y - 1/3 = 3/4(x - 4) <===

Answer:

The correct option is 2.

Step-by-step explanation:

The point slope form of a line is

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

Where, m is slope.

The line passes through (4, 1/3 ) and has a slope of 3/4.

The equation of line is

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

Therefore the correct option is 2.

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