Find the slope of the line that passes through (7, 10) and (2, 1).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.



To find the slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the formula:

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

Given the points \((7, 10)\) and \((2, 1)\), assign:

- \((x_1, y_1) = (7, 10)\)
- \((x_2, y_2) = (2, 1)\)

Substitute the values into the slope formula:

\[
m = \frac{1 - 10}{2 - 7} = \frac{-9}{-5} = \frac{9}{5}
\]

Thus, the slope of the line is \( \frac{9}{5} \).

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

Here are 5 related questions for further exploration:
1. How would the slope change if the points were reversed?
2. What is the equation of the line that passes through these two points?
3. How do you find the slope of a vertical line?
4. What is the slope of a horizontal line?
5. If the slope of a line is negative, what does that indicate about the line?

**Tip:** Remember, a negative slope means the line falls as it moves from left to right!

Find the slope of the line that passes through (7, 10) and (2, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Discover how to calculate the slope of a line passing through the points (7, 10) and (2, 1) with a clear, step-by-step solution. Learn about the slope formula, coordinate geometry concepts, and algebraic methods. This solution is suitable for students in Grades 8-10.

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