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

x |
-4 |
-2 |
0 |
2 |
4 |
---|---|---|---|---|---|

y |
-16 |
-6 |
4 |
14 |
24 |

**Solution:**

As the slope of a line joining any two points is the same, the function is linear.

We can consider any two points from the table and find the slope or rise/run between them.

Take the points (-4, -16) and (-2, -6)

So the slope joining these points is

m = Δy/ Δx

m = (- 6 - (-16))/ (-2 - (-4))

By further calculation

m = (10)/ (2)

So we get

m = 5

Therefore, the slope of the function is 5.

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

x |
-4 |
-2 |
0 |
2 |
4 |
---|---|---|---|---|---|

y |
-16 |
-6 |
4 |
14 |
24 |

**Summary:**

The table represents a linear function. The slope of the function is 5.

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