What is the function of the line?

It is a linear function.

Step-by-step explanation:

The graph shows a straight line. Therefore the function must be linear. Unless you were asking about the equation of the line? Let me know.

To find the equation of this line, you would take the two points it passes through, (-3, 0) and (0, -2), and plug it into the slope formula, (y2-y1)/(x2-x1).

This would get you (-2 - 0)/ (0 - (-3)), which is -2/3.

Then, you can use slope intercept form to write the equation, since you have the y intercept already, (0, -2).  Slope intercept is y=mx+b.

The line of the equation would then be y = -2/3x -2