Which of the following equations represents the data in the table?

Question

Which of the following equations represents the data in the table?
| x | y |
|-------|-------|
| -4 | 5 |
| 0 | 2 |
| 4 | -1 |
| 8 | -4 |
- y = \frac{3}{4}x + 8
- y = -\frac{3}{4}x + 8
- y = -\frac{3}{4}x + 2

SnapAndSolve AI · Accepted Answer

To find the correct equation, substitute the x-values from the table into each equation and check if the resulting y-values match those in the table.

y = \frac{3}{4}x + 8

For x = -4: y = \frac{3}{4}(-4) + 8 = -3 + 8 = 5 (matches)
For x = 0: y = \frac{3}{4}(0) + 8 = 0 + 8 = 8 (does not match)

y = -\frac{3}{4}x + 8

For x = -4: y = -\frac{3}{4}(-4) + 8 = 3 + 8 = 11 (does not match)

y = -\frac{3}{4}x + 2

For x = -4: y = -\frac{3}{4}(-4) + 2 = 3 + 2 = 5 (matches)
For x = 0: y = -\frac{3}{4}(0) + 2 = 0 + 2 = 2 (matches)
For x = 4: y = -\frac{3}{4}(4) + 2 = -3 + 2 = -1 (matches)
For x = 8: y = -\frac{3}{4}(8) + 2 = -6 + 2 = -4 (matches)

The correct equation is y = -\frac{3}{4}x + 2.

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Which of the following equations represents the data in the table?

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