Question

Which function describes this graph?

f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2

Answer 1

f(x)=1/4x+2 i think tell me if i'm wrong

Answer 2

The correct option is 3.

Explanation:

The slope intercept form of a line is

`y=mx+b` ..... (1)

where, m is slope and b is y-intercept.

From the given graph it is clear that the graph intersect the y-axis at (0,2). So, the y-intercept of the line is 2.

The line passes through the points (0,2) and (4,3). So, the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

`m=(3-2)/(4-0)`

`m=(1)/(4)`

Substitute
`m=(1)/(4)` and b=2 in equation 1.

`y=(1)/(4)x+2`

The equation of line is
`y=(1)/(4)x+2`.

Therefore the correct option is 3.