The table below represents a linear function. What is the slope?

x y
-2 -6
0 -3
2 0
4 3


Responses

32
, 3 halves

−23
negative 2 thirds

−32
, , negative 3 halves

23

2 answers

The slope can be found by using the formula:

slope = (change in y) / (change in x)

From the given table, we can see that when x increases by 2, y increases by 3. So the change in y is 3 and the change in x is 2.

Therefore,

slope = (3 - (-6)) / (4 - (-2))

slope = 9 / 6

slope = 3/2

So the answer is: 3 halves.
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