Here’s a graph of a linear function. write the equation that describes that function. express it in slope-intercept form.

y = (1/3)x + 4

Step-by-step explanation:

Two points on this straight line are (-9, 1) and (0, 4).

As we move from the first point to the second, x increases by 9 and y by 3.  Thus, the slope of this line is m = rise / run = 3/9, or m = 1/3.  

The y-intercept is easily read off the graph:  it is (0, 4).  Thus, b = 4 in the slope-intercept form of the equation of a straight line, y = mx + b:

y = (1/3)x + 4

This is the desired linear function.

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step-by-step explanation:

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