Find the slope of the line that passes through (2, 3) and (6, 6).

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

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Given the points \((2, 3)\) and \((6, 6)\):

- \(x_1 = 2\), \(y_1 = 3\)
- \(x_2 = 6\), \(y_2 = 6\)

Now plug these values into the slope formula:

\[
m = \frac{6 - 3}{6 - 2} = \frac{3}{4}
\]

So, the slope of the line that passes through the points \((2, 3)\) and \((6, 6)\) is \(\frac{3}{4}\).

Would you like further details on this topic or have any questions?

Here are some related questions that you might find interesting:

1. How do you find the equation of a line given two points?
2. What is the significance of the slope in a linear equation?
3. How do you interpret the slope of a line in a real-world context?
4. Can the slope of a line be negative, and what does that mean?
5. How do you determine if two lines are parallel or perpendicular based on their slopes?

**Tip:** Remember, the slope of a line indicates the steepness and direction of the line. A positive slope means the line rises as it moves from left to right, while a negative slope means it falls.

Learn how to find the slope of a line that passes through the points (2, 3) and (6, 6) using the slope formula. This problem is suitable for students in Grades 7-9 and covers key concepts in algebra and analytic geometry.

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