Vertical and horizontal lines worksheet - Free Printable

Absolutely! Let’s solve the worksheet step by step and explain everything clearly.

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## 📘 Main Ideas / Notes Section

✔ Vertical Lines

- Definition: A vertical line is written in the form `x = a`, where `a` is the x-coordinate where the line crosses the x-axis (its x-intercept).
- In the example graph, the vertical line passes through x = 0 (it’s the y-axis itself).
→ So, the equation is: `x = 0`

✔ Horizontal Lines

- Definition: A horizontal line is written in the form `y = a`, where `a` is the y-coordinate where the line crosses the y-axis (its y-intercept).
- In the example graph, the horizontal line passes through y = 0 (it’s the x-axis itself).
→ So, the equation is: `y = 0`

> 💡 Remember:
> - If a line is vertical, it’s `x = [number]` — always the same x-value.
> - If a line is horizontal, it’s `y = [number]` — always the same y-value.

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## 📐 Examples Section — Write the Equation of Each Line

We’ll go one by one.

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1. Vertical Line at x = -2

- The line goes straight up and down.
- It crosses the x-axis at x = -2.
- So, every point on this line has an x-coordinate of -2.
✔ Equation: `x = -2`

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2. Horizontal Line at y = 3

- The line goes left and right.
- It crosses the y-axis at y = 3.
- So, every point on this line has a y-coordinate of 3.
✔ Equation: `y = 3`

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3. Horizontal Line at y = -4

- The line is horizontal, crossing the y-axis at y = -4.
✔ Equation: `y = -4`

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4. Vertical Line at x = 5

- The line is vertical, crossing the x-axis at x = 5.
✔ Equation: `x = 5`

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5. Vertical Line at x = 0

- This is the y-axis itself.
- Crosses x-axis at x = 0.
✔ Equation: `x = 0`

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6. Horizontal Line at y = 2

- The line is horizontal, crossing the y-axis at y = 2.
✔ Equation: `y = 2`

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## ✔ Final Answers Summary:

Main Notes Section:

- Vertical line example: `x = 0`
- Horizontal line example: `y = 0`

Examples Section:

1. `x = -2`
2. `y = 3`
3. `y = -4`
4. `x = 5`
5. `x = 0`
6. `y = 2`

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## 🧠 Key Concept Recap:
- Vertical lines → x = constant → they are parallel to the y-axis.
- Horizontal lines → y = constant → they are parallel to the x-axis.
- Always look for where the line crosses the axis — that number becomes your constant!

Let me know if you want to practice more or need a visual explanation! 😊