Question

Which graph represents the linear function below?

Answer 1

Answer:

it's C

Step-by-step explanation:

took the quiz

Answer 2

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.