What is the function rule for the line?

f(x) = (2/3)x-2

Step-by-step explanation:

The slope is positive. We can calculate it by taking any two points on the line and finding the Rise (change in y) divided by the corresponding Run (the change in x). I'll pick points (-3,-4) and (3,0) [mostly becasue it is easy to see whole numbers for both x and y at these points].

Going from (-3,-4) to (3,0):

Rise = (0-(-4)) = 4

Run = (3-(-3)) = 6

Rise/Run, or slope, = 4/6 or 2/3.

Put this into the standrad form for a straight line: y=mx+b, we get:

y = (2/3)x + b.

b is the y-intercept, the value of y when x is zero. We can find that on the graph. When x = 0, y = -2. So b is -2.

y = (2/3)x - 2

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step-by-step explanation: