Worksheet for finding slope and y-intercept from graph.

Sure! Let’s solve each of the 6 problems by finding the slope and y-intercept from the given graphs.

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🔑 Key Concepts:

- Slope (m) = rise / run = (change in y) / (change in x) = (y₂ - y₁) / (x₂ - x₁)
- y-intercept (b) = the point where the line crosses the y-axis → (0, b)

We’ll use the two pink dots shown on each graph to calculate slope. Then we’ll find where the line crosses the y-axis.

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## ✔ Problem 1:

Points: (-4, 0) and (0, 3)

→ Slope = (3 - 0) / (0 - (-4)) = 3 / 4
→ y-intercept: The line crosses y-axis at (0, 3) → 3

✔ Slope: 3/4
✔ y-intercept: 3

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## ✔ Problem 2:

Points: (0, 2) and (5, 0)

→ Slope = (0 - 2) / (5 - 0) = -2 / 5
→ y-intercept: The line crosses y-axis at (0, 2) → 2

✔ Slope: -2/5
✔ y-intercept: 2

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## ✔ Problem 3:

Points: (2, 0) and (0, -5)

→ Slope = (-5 - 0) / (0 - 2) = (-5)/(-2) = 5/2
→ y-intercept: The line crosses y-axis at (0, -5) → -5

✔ Slope: 5/2
✔ y-intercept: -5

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## ✔ Problem 4:

Points: (-3, 4) and (0, 1)

→ Slope = (1 - 4) / (0 - (-3)) = (-3)/(3) = -1
→ y-intercept: The line crosses y-axis at (0, 1) → 1

✔ Slope: -1
✔ y-intercept: 1

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## ✔ Problem 5:

Points: (0, -2) and (3, 3)

→ Slope = (3 - (-2)) / (3 - 0) = 5 / 3
→ y-intercept: The line crosses y-axis at (0, -2) → -2

✔ Slope: 5/3
✔ y-intercept: -2

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## ✔ Problem 6:

Points: (0, 0) and (2, 4)

→ Slope = (4 - 0) / (2 - 0) = 4 / 2 = 2
→ y-intercept: The line crosses y-axis at (0, 0) → 0

✔ Slope: 2
✔ y-intercept: 0

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## 📝 Final Answers:

1. Slope: 3/4, y-intercept: 3
2. Slope: -2/5, y-intercept: 2
3. Slope: 5/2, y-intercept: -5
4. Slope: -1, y-intercept: 1
5. Slope: 5/3, y-intercept: -2
6. Slope: 2, y-intercept: 0

Let me know if you’d like to see the equations of the lines too (in slope-intercept form: y = mx + b)! 😊