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alexandr1967 [171]
3 years ago
8

Which graph represents the linear function below?

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

Answer:

<h2>it's C</h2>

Step-by-step explanation:

took the quiz

Luba_88 [7]3 years ago
5 0

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

y-4=\frac{4}{3}(x-2)              ..... (1)

The point slope form of a linear function is

y-y_1=m(x-x_1)                    ..... (2)

Where, m is slope and the graph passing through the point (x_1,y_1).

From (1) and (2), we get

m=\frac{4}{3},x_1=2,y_1=4

It means the slope of the line is positive and the graph passing though the point (2,4).

Put x=0 in the given function, to find the y-intercept.

y-4=\frac{4}{3}(0-2)

y-4=\frac{-8}{3}

y=\frac{-8}{3}+4

y=\frac{-8+12}{3}

y=1.333

The y-intercept is 1.333.

Put y=0 in the given function, to find the x-intercept.

0-4=\frac{4}{3}(x-2)

-12=4x-8

-4=4x

x=-1

The x-intercept is -1.

Therefore option C is correct.

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