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Worksheet with six graphs illustrating horizontal and vertical lines to determine their equations.

Graphs showing horizontal and vertical lines on coordinate planes for writing equations.

Graphs showing horizontal and vertical lines on coordinate planes for writing equations.

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Show Answer Key & Explanations Step-by-step solution for: Equations of Horizontal and Vertical Lines Worksheets
To find the equation for each line, we need to look at where the line crosses the axes.

* Vertical Lines: These lines go straight up and down. They never change their left-right position. Their equation is always $x = \text{number}$, where the number is where the line crosses the x-axis.
* Horizontal Lines: These lines go straight left and right. They never change their up-down position. Their equation is always $y = \text{number}$, where the number is where the line crosses the y-axis.

Let's solve each one step-by-step:

1) This is a vertical line. Look at the x-axis (the horizontal one). The line crosses the x-axis at -1. It stays at $x = -1$ no matter how high or low it goes.
* Equation: $x = -1$

2) This is a horizontal line. Look at the y-axis (the vertical one). The line crosses the y-axis at 6. It stays at $y = 6$ no matter how far left or right it goes.
* Equation: $y = 6$

3) This is a horizontal line. Look at the y-axis. The line crosses the y-axis at -4.
* Equation: $y = -4$

4) This is a vertical line. Look at the x-axis. The line crosses the x-axis at -8.
* Equation: $x = -8$

5) This is a vertical line. Look at the x-axis. The line crosses the x-axis at 7.
* Equation: $x = 7$

6) This is a horizontal line. Look at the y-axis. The line crosses the y-axis at 4.
* Equation: $y = 4$

Final Answer:
1) $x = -1$
2) $y = 6$
3) $y = -4$
4) $x = -8$
5) $x = 7$
6) $y = 4$
Parent Tip: Review the logic above to help your child master the concept of horizontal and vertical lines worksheet.
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