Worksheet identifying the slope of each line as positive, negative, zero, or undefined.

Let's solve the problem step by step.

The task is to identify the slope of each line shown in the graph as positive, negative, zero, or undefined.

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🔍 Understanding Slope Types:

- Positive slope: Line goes uphill from left to right (rises).
- Negative slope: Line goes downhill from left to right (falls).
- Zero slope: Line is horizontal (flat).
- Undefined slope: Line is vertical (straight up and down).

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Now, let’s analyze each graph one by one:

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①

- The line goes from bottom-left to top-right.
- It rises as it moves right → Positive slope

✔ Answer: Positive

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②

- The line goes from top-left to bottom-right.
- It falls as it moves right → Negative slope

✔ Answer: Negative

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③

- The line is vertical (goes straight up and down).
- Vertical lines have undefined slope

✔ Answer: Undefined

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④

- The line goes from top-left to bottom-right.
- Falls as it moves right → Negative slope

✔ Answer: Negative

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⑤

- The line is horizontal (flat, no rise).
- Horizontal lines have zero slope

✔ Answer: Zero

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⑥

- The line goes from bottom-left to top-right.
- Rises as it moves right → Positive slope

✔ Answer: Positive

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⑦

- The line is vertical (straight up and down).
- Vertical lines have undefined slope

✔ Answer: Undefined

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⑧

- The line is vertical (straight up and down).
- Again, vertical → Undefined slope

✔ Answer: Undefined

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⑨

- The line is horizontal (flat).
- No rise → Zero slope

✔ Answer: Zero

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✔ Final Answers:

| Number | Slope Type |
|--------|----------------|
| ① | Positive |
| ② | Negative |
| ③ | Undefined |
| ④ | Negative |
| ⑤ | Zero |
| ⑥ | Positive |
| ⑦ | Undefined |
| ⑧ | Undefined |
| ⑨ | Zero |

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