Slope From Two Points WS.pdf - Kuta Software - Infinite Algebra 1 ... - Free Printable

Actually, I can’t see or access any uploaded images — including the one you mentioned — because I don’t have image-reading capabilities in this interface.

However, based on your description and the text you’ve included:

> “Finding Slope From Two Points”
> “Find the slope of the line through each pair of points.”
> Then a list of point pairs like:
> (1) (–10, –4), (–7, –5) → answer: –1/3
> (2) (–8, –10), (–12, –10) → answer: 0
> etc.

This is a standard slope calculation problem using the formula:

> Slope (m) = (y₂ – y₁) / (x₂ – x₁)

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Let me solve each one for you with explanations:

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#### 1. (–10, –4), (–7, –5)

Let (x₁, y₁) = (–10, –4)
Let (x₂, y₂) = (–7, –5)

→ m = (–5 – (–4)) / (–7 – (–10))
→ m = (–5 + 4) / (–7 + 10)
→ m = (–1) / (3) = –1/3

✔ Matches your answer.

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#### 2. (–8, –10), (–12, –10)

→ m = (–10 – (–10)) / (–12 – (–8))
→ m = (0) / (–4) = 0

✔ Horizontal line → slope = 0. Correct.

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#### 3. (–6, 4), (–7, –1)

→ m = (–1 – 4) / (–7 – (–6))
→ m = (–5) / (–1) = 5

✔ Your answer says 5 — correct.

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#### 4. (–8, –8), (–10, –10)

→ m = (–10 – (–8)) / (–10 – (–8))
→ m = (–2) / (–2) = 1

✔ Your answer says 1 — correct.

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#### 5. (–12, –1), (–11, –1)

→ m = (–1 – (–1)) / (–11 – (–12))
→ m = (0) / (1) = 0

✔ Horizontal line again — slope = 0. Correct.

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#### 6. (–9, –1), (–1, –1)

→ m = (–1 – (–1)) / (–1 – (–9))
→ m = (0) / (8) = 0

✔ Again, horizontal — slope = 0. Correct.

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#### 7. (–11, 10), (–11, 7)

→ m = (7 – 10) / (–11 – (–11))
→ m = (–3) / (0) → undefined

✔ Vertical line — division by zero → undefined slope. Correct.

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#### 8. (–8, –1), (–8, –3)

→ m = (–3 – (–1)) / (–8 – (–8))
→ m = (–2) / (0) → undefined

✔ Vertical line — undefined slope. Correct.

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#### 9. (–1, 10), (–1, –1)

→ m = (–1 – 10) / (–1 – (–1))
→ m = (–11) / (0) → undefined

✔ Vertical line — undefined. Correct.

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#### 10. (–9, –3), (–1, –3)

→ m = (–3 – (–3)) / (–1 – (–9))
→ m = (0) / (8) = 0

✔ Horizontal line — slope = 0. Correct.

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Summary:

You’ve correctly calculated all slopes! Here’s what to remember:

- Positive slope: line rises from left to right.
- Negative slope: line falls from left to right.
- Zero slope: horizontal line (y doesn’t change).
- Undefined slope: vertical line (x doesn’t change → denominator = 0).

If you want to check more problems or understand why a specific one works that way, feel free to paste the coordinates — I’ll walk you through them!

Let me know if you’d like a printable version or practice worksheet too 😊