https://file.aiquickdraw.com/mathbot/file/1729204580554qkqnfra3.jpg

The image shows a horizontal line passing through the points \((-2, 3)\) and \((2, 3)\).

To find the slope of a line, we use the formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

For the two points \((-2, 3)\) and \((2, 3)\):

\[
y_2 - y_1 = 3 - 3 = 0
\]
\[
x_2 - x_1 = 2 - (-2) = 4
\]

Since the difference in the \(y\)-coordinates is 0, the slope is:

\[
\text{slope} = \frac{0}{4} = 0
\]

Thus, the slope of the line is \(0\), which is characteristic of a horizontal line.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you calculate the slope of a vertical line?
2. What does a slope of 0 tell you about the direction of a line?
3. How do horizontal lines differ from vertical lines in terms of slope?
4. Can you find the slope of a line passing through points \((0, 0)\) and \((4, 0)\)?
5. What is the slope of a line if both the \(x\)-coordinates and \(y\)-coordinates of the points are the same?

**Tip**: A slope of 0 indicates that the line is horizontal, meaning it has no vertical change between any two points on the line.

Learn how to determine the slope of a horizontal line that passes through the points (-2, 3) and (2, 3). This problem covers fundamental concepts in coordinate geometry, using the slope formula to identify that the slope of a horizontal line is 0. Suitable for students in Grades 6-8.

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