Find the slope of the line that passes through each pair of points. (2, 3), (9, 7)

To find the slope of the line that passes through the points \((2, 3)\) and \((9, 7)\), you can use the slope formula:

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

Here, the points \((2, 3)\) and \((9, 7)\) are given. Let's assign the coordinates as follows:
- \((x_1, y_1) = (2, 3)\)
- \((x_2, y_2) = (9, 7)\)

Now, substitute the values into the slope formula:

\[
m = \frac{7 - 3}{9 - 2} = \frac{4}{7}
\]

So, the slope of the line is \(\frac{4}{7}\).

### Conclusion:
The slope of the line that passes through the points \((2, 3)\) and \((9, 7)\) is \(\frac{4}{7}\).

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

Here are some related questions you might find interesting:
1. How do you find the equation of a line given two points?
2. What does a positive slope indicate about the direction of a line?
3. How would you find the midpoint of the line segment joining the points \((2, 3)\) and \((9, 7)\)?
4. What is the slope of the line perpendicular to the line passing through \((2, 3)\) and \((9, 7)\)?
5. Can two different lines have the same slope? What does it mean if they do?

**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.

Learn how to find the slope of a line passing through the points (2, 3) and (9, 7) using the slope formula. Understand the concept of slope in coordinate geometry. Suitable for Grades 7-9.

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