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Find the equation of the linear function represented by the table below in slope-intercept form. | x | 0 |...

Find the equation of the linear function represented by the table below in slope-intercept form.
| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| y | -9 | -4 | 1 | 6 | 11 |

Answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope m, use the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (0, -9) and (1, -4):

m = (-4 - (-9)) / (1 - 0) = 5

The y-intercept b is the y-value when x = 0, which is -9.

Thus, the equation is y = 5x - 9.

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