Find slope from a table worksheet with two problems involving linear equations and a table of x and y values.

Final Answer:
−1

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Explanation:
To find the slope from a table, we use two points and the formula:
slope = (change in y) ÷ (change in x) = (y₂ − y₁) / (x₂ − x₁)

For problem 1, pick any two rows. Let’s use (x₁, y₁) = (0, 5) and (x₂, y₂) = (1, 4):
- Change in y = 4 − 5 = −1
- Change in x = 1 − 0 = 1
- Slope = −1 / 1 = −1

Check with another pair, say (2, 3) and (3, 2):
- Change in y = 2 − 3 = −1
- Change in x = 3 − 2 = 1
- Slope = −1 / 1 = −1

Same result! So the slope is −1.

For problem 2:
Use (1, 1) and (2, 4):
- Change in y = 4 − 1 = 3
- Change in x = 2 − 1 = 1
- Slope = 3 / 1 = 3

Check with (3, 7) and (4, 10):
- Change in y = 10 − 7 = 3
- Change in x = 4 − 3 = 1
- Slope = 3 / 1 = 3

So the slope is 3.

But since only one final answer is requested (and the first problem is labeled “1”), the answer is −1.