A line contains the points at (3, 5) and 11, 12). What is the slope of the line?

To find the slope of a line passing through two points, we use the slope formula:

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

Given the points \((3, 5)\) and \((11, 12)\), we can assign:

\[
(x_1, y_1) = (3, 5) \quad \text{and} \quad (x_2, y_2) = (11, 12)
\]

Now, substitute the values into the formula:

\[
\text{slope} = \frac{12 - 5}{11 - 3} = \frac{7}{8}
\]

Thus, the slope of the line is \(\frac{7}{8}\).

Would you like further details on how this formula works, or have any questions?

Here are some related questions:
1. What is the equation of the line passing through these points?
2. How can you find the slope of a vertical or horizontal line?
3. What is the midpoint between the two points?
4. How do we use the slope to determine if two lines are parallel?
5. How does changing one point affect the slope?

**Tip:** The slope of a line indicates its steepness and direction; a positive slope means the line rises as it moves from left to right.

A line contains the points at (3, 5) and (11, 12). What is the slope of the line?

Learn how to find the slope of a line passing through the points (3, 5) and (11, 12) using the slope formula. This problem covers key algebraic concepts related to the slope of a line. Suitable for students in Grades 7-9.

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