What is the linear function equation represented by the graph? Enter your answer in the box.f(x)=

Two points on this line are (0,-4) and (3,-3)
The slope is 1/3 since we go up 1 and over to the right 3 units (when we go from (0,-4) to (3,-3))

We can see this using the slope formula
m = (y2 - y1)/(x2 - x1)
m = (-3 - (-4))/(3 - 0)
m = (-3 + 4)/(3 - 0)
m = 1/3

The y intercept is -4 as this is the location where the graph crosses the y axis.
So b = -4

Plug m = 1/3 and b = -4 into the equation y = mx+b

Doing so leads to the answer of y = (1/3)x - 4
Which is the same as f(x) = (1/3)x - 4