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Find the equation in point-slope form of the linear function represented in the table below. | x | y |...

34. Find the equation in point-slope form of the linear function represented in the table below.
| x | y |
|-------|-------|
| -4 | 10 |
| -2 | 6 |
| 0 | 4 |
| 2 | 0 |
- y - 10 = -2(x + 4)
- y = 2x + 2
- y - 10 = 2(x + 4)
- y + 10 = 2(x - 4)

Answer

The slope (m) can be calculated using any two points from the table. Using points (-4, 10) and (-2, 6):

  1. m = (6 - 10) / (-2 + 4) = -4 / 2 = -2

Using the point (-4, 10) and the slope -2, the point-slope form is:

  1. y - 10 = -2(x + 4)

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