Find the slope of the line that passes through each pair of points. (-3, 3), (1, 3)

To find the slope of the line that passes through the points \((-3, 3)\) and \((1, 3)\), you can use the slope formula:

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

Here, the points \((-3, 3)\) and \((1, 3)\) are given. Let's assign the coordinates as follows:
- \((x_1, y_1) = (-3, 3)\)
- \((x_2, y_2) = (1, 3)\)

Now, substitute the values into the slope formula:

\[
m = \frac{3 - 3}{1 - (-3)} = \frac{0}{1 + 3} = \frac{0}{4} = 0
\]

So, the slope of the line is \(0\).

### Conclusion:
The slope of the line that passes through the points \((-3, 3)\) and \((1, 3)\) is \(0\). This means the line is horizontal.

Would you like more details on this, or do you have any other questions?

Here are some related questions you might find interesting:
1. What is the equation of the line with a slope of 0?
2. How do you determine if two lines are parallel?
3. Can a vertical line have a slope? If so, what is it?
4. How would the slope formula change if the points were \((-3, 3)\) and \((1, 5)\)?
5. How can you find the slope of a line given its equation in standard form?

**Tip:** A slope of 0 always indicates a horizontal line, meaning the \(y\)-coordinates of any two points on the line are equal.

Learn how to find the slope of the line that passes through the points (-3, 3) and (1, 3) using the slope formula. This problem covers key concepts in coordinate geometry and is suitable for students in Grades 7-9.

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