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To find the slope of the line passing through the points \((4, 1)\) and \((7, 4)\), we use the slope formula:

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

Where:
- \((x_1, y_1) = (4, 1)\)
- \((x_2, y_2) = (7, 4)\)

Now, let's plug in the values:

\[
m = \frac{4 - 1}{7 - 4} = \frac{3}{3} = 1
\]

So, the slope of the line is **1**.

Do you want further details or have any questions?

Here are five related questions you can explore:
1. What is the equation of the line passing through the points \((4, 1)\) and \((7, 4)\)?
2. How do you calculate the slope of a vertical line?
3. What happens if the two points have the same x-coordinate (vertical line)?
4. How does slope relate to the angle a line makes with the x-axis?
5. How do you find the slope of a line from its graph?

**Tip:** The slope of a line tells you how steep the line is and whether it rises or falls as you move from left to right.

Find the slope of the line containing the points (4,1) and (7,4).

Learn how to calculate the slope of a line passing through points (4,1) and (7,4) using the slope formula. This problem covers key algebraic concepts and is suitable for students in Grades 7-9.

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