find the distence between the parallel lines y= -2 y=3

To find the distance between two parallel lines, we can use the formula for the distance between two horizontal lines. Since both lines are given by \( y = -2 \) and \( y = 3 \), and the distance between them is simply the vertical distance:

\[
\text{Distance} = |y_2 - y_1|
\]

where \( y_2 = 3 \) and \( y_1 = -2 \).

\[
\text{Distance} = |3 - (-2)| = |3 + 2| = 5
\]

Thus, the distance between the lines \( y = -2 \) and \( y = 3 \) is 5 units.

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### Related questions:
1. How do you find the distance between non-horizontal parallel lines?
2. What is the formula for the distance between a point and a line?
3. How would the process change for vertical parallel lines?
4. How can you find the equation of a line parallel to a given line and passing through a specific point?
5. What are parallel lines and how can you verify if two lines are parallel?

**Tip:** For horizontal or vertical lines, the distance between them is simply the absolute difference between their constant terms.

Find the distance between the parallel lines y = -2 and y = 3.

Learn how to find the distance between the parallel lines y = -2 and y = 3 using the vertical distance formula. This problem covers key geometry concepts like parallel lines and calculating the distance between horizontal lines. Suitable for students in Grades 6-8.

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