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

y = (1/3)x - 4

Step-by-step explanation:

Notice that the graph crosses the y-axis at (0, -4).  The y-intercept is thus 4, which we often call "b."

If we start at (0, -4) and move to the right along the graph, we see that the first point at which both the change in x and the change in y are integers is (3, -3).

As we go from (0, -4) to (3, -3), x increases by 3 and y increases by 1.

We can then conclude that the slope, m, of this line is

m = rise / run = 1 / 3.

Substituting b = -4 and m = 1/3 into the slope-intercept form of the equation of a straight line, we get:

y = (1/3)x - 4

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