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To calculate the slope of the line passing through the points \((1, 1)\) and \((4, 4)\), we use the slope formula:

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

Here:
- \( (x_1, y_1) = (1, 1) \)
- \( (x_2, y_2) = (4, 4) \)

Substituting these values into the formula:

\[
m = \frac{4 - 1}{4 - 1} = \frac{3}{3} = 1
\]

So, the slope \( m = 1 \). 

Would you like further details on how to interpret this, or any questions on how slopes work?

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Here are 5 questions to further explore:
1. What is the formula for the slope of a line between two points?
2. How does the slope of a vertical line differ from a horizontal line?
3. What does it mean if the slope is negative?
4. Can the slope be zero? If so, what does that indicate about the line?
5. How would you calculate the slope if one point had negative coordinates?

**Tip:** When calculating slope, remember to carefully subtract in the correct order to avoid errors.

What is the slope of the line that passes through the points (1, 1) and (4, 4)? Write your answer in simplest form.

Learn how to find the slope of a line passing through the points (1, 1) and (4, 4). This problem uses the slope formula, which involves calculating the difference in the y-values and dividing it by the difference in the x-values. Suitable for students in Grades 7-9.

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