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To solve for the slope of the line passing through the points \((17, 96)\) and \((66, 12)\), we use the slope formula:

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

Here, \((x_1, y_1) = (17, 96)\) and \((x_2, y_2) = (66, 12)\).

Now, let's calculate:

\[
m = \frac{12 - 96}{66 - 17} = \frac{-84}{49}
\]

Simplify the fraction:

\[
m = \frac{-84}{49} = -\frac{12}{7}
\]

Thus, the slope of the line is \(m = -\frac{12}{7}\).

Would you like a more detailed explanation or have any questions?

Here are some related questions to consider:
1. How is the slope formula derived from the equation of a line?
2. What does the negative slope indicate about the direction of the line?
3. Can you find the equation of the line with this slope passing through one of the points?
4. How would the slope change if the points were swapped?
5. What is the meaning of a slope of zero?

**Tip:** The slope represents the rate of change between the \(y\)-values relative to the \(x\)-values.

Find the slope of the line that passes through (17, 96) and (66, 12).

Learn how to calculate the slope of a line passing through the points (17, 96) and (66, 12). This problem uses the slope formula, important for understanding coordinate geometry. Suitable for students in Grades 8-10.

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