To find the slope \( m \) of the line that passes through the two points \( (x_1, y_1) \) and \( (x_2, y_2) \), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
For the points \( (9, 4) \) and \( (2, 10) \):
- \( x_1 = 9 \)
- \( y_1 = 4 \)
- \( x_2 = 2 \)
- \( y_2 = 10 \)
Plugging in these values into the slope formula:
\[ m = \frac{10 - 4}{2 - 9} \]
Calculating the differences:
\[ m = \frac{6}{-7} \]
Thus, the slope simplifies to:
\[ m = -\frac{6}{7} \]
So the slope of the line that passes through the points \( (9, 4) \) and \( (2, 10) \) is
\[ \boxed{-\frac{6}{7}} \]
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