Finding Slope - Free Printable

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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