Question

Which function describes this graph? f(x)=4x+2 f(x)=x+2 f(x)=1/4x+2

Answer 1

Answer:

The correct option is 3.

Step-by-step 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

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{3-2}{4-0}$

$m=\frac{1}{4}$

Substitute $m=\frac{1}{4}$ and b=2 in equation 1.

$y=\frac{1}{4}x+2$

The equation of line is $y=\frac{1}{4}x+2$.

Therefore the correct option is 3.

Answer 2

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