Find the slope of the line that passes through (2, 1) and (10, 10).

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

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

Given the points \((x_1, y_1) = (2, 1)\) and \((x_2, y_2) = (10, 10)\), we substitute these values into the formula:

\[
m = \frac{10 - 1}{10 - 2} = \frac{9}{8}
\]

So, the slope of the line passing through the points \((2, 1)\) and \((10, 10)\) is:

\[
\boxed{\frac{9}{8}}
\]

Would you like more details on how to find slopes, or have any questions?

### Related Questions
1. How do you find the slope of a line parallel to a given line?
2. What is the slope of a line perpendicular to the line passing through points (2, 1) and (10, 10)?
3. How can you determine if two lines are parallel, perpendicular, or neither?
4. What is the equation of a line given a point and a slope?
5. How can you find the slope of a line from its equation in standard form?

**Tip:** The slope of a line can indicate its steepness and direction. A positive slope means the line goes up as it moves from left to right, while a negative slope means it goes down.

Discover how to find the slope of a line that passes through the points (2, 1) and (10, 10) with a clear, step-by-step explanation. This problem involves key algebraic concepts like the slope formula, making it perfect for students in Grades 8-10.

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