https://file.aiquickdraw.com/mathbot/file/1727376502617xbvw2xpg.jpg

The image shows a line passing through the points \((2, -3)\) and \((6, -3)\) on a coordinate grid. These two points have the same \(y\)-coordinate, which means the line is **horizontal**.

To calculate the slope of a line, we use the formula:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]
For the points \((2, -3)\) and \((6, -3)\):
- \(x_1 = 2\), \(y_1 = -3\)
- \(x_2 = 6\), \(y_2 = -3\)

Substituting these values into the formula:
\[
\text{slope} = \frac{-3 - (-3)}{6 - 2} = \frac{0}{4} = 0
\]

Thus, the slope of the line is **0**, confirming that it is a horizontal line.

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the slope of a vertical line?
2. What is the general equation of a horizontal line?
3. How does slope relate to the steepness of a line?
4. Can a line have an undefined slope? If so, when?
5. How would you calculate the distance between the two points \((2, -3)\) and \((6, -3)\)?

**Tip:** A horizontal line always has a slope of 0, as the \(y\)-values remain constant across any two points.

What is the slope of the line passing through the points (2, -3) and (6, -3)?

This problem covers how to calculate the slope of a horizontal line passing through the points (2, -3) and (6, -3). Learn how the slope is determined using the formula (y2 - y1) / (x2 - x1) and why horizontal lines always have a slope of 0. Suitable for students in Grades 6-8.

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