The function f(x) is shown in the graph. what is the equation for f(x)? enter your answer in the box. f (x) = ?

This is a graph of a Line, the equation of a line is in the following form:

  (1)

Where:

is the slope of the line

is the point of intersection of the line with the y-axis

Now, in order to write the equation (1), we have to find the slope first by the following formula:

   (2)

Where and are two points of the line.

In this case:

Substituting:

   (3)

   (4) >>>>This is the slope

Now we have to find the interception with the y-axis, if we look at the graph we will find out the line intercepts with the y-axis in y=-3.

Therefore   (5)

Finally we can write the function:

the answer is d. 75%