The table shows a linear relationship. | x | y | |---|----| | 0 | -3 | | 3 | 10.5 | | 7 | 28.5 | | 9 | 37.5...

Question

The table shows a linear relationship.
| x | y |
|---|----|
| 0 | -3 |
| 3 | 10.5 |
| 7 | 28.5 |
| 9 | 37.5 |
What is the slope and the y-intercept?
Choose the correct answer from each drop-down menu to complete the sentence.
The slope is _____ , and the y-intercept is _____ .

SnapAndSolve AI · Accepted Answer

To find the slope, use the formula for the slope of a line (m) between two points (x₁, y₁) and (x₂, y₂):

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (0, -3) and (3, 10.5):

m = (10.5 - (-3)) / (3 - 0) = 13.5 / 3 = 4.5

The y-intercept is the value of y when x = 0, which is -3.

The slope is 4.5, and the y-intercept is -3.

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The table shows a linear relationship. | x | y | |---|----| | 0 | -3 | | 3 | 10.5 | | 7 | 28.5 | | 9 | 37.5...

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