To find the slope of the line that passes through the two points \((8, 10)\) and \((6, 13)\), we use the formula for the slope \(m\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we can assign the points as follows:
- \((x_1, y_1) = (8, 10)\)
- \((x_2, y_2) = (6, 13)\)
Now, substitute the values into the slope formula:
\[ m = \frac{13 - 10}{6 - 8} \]
Now calculate the differences:
\[ m = \frac{3}{6 - 8} = \frac{3}{-2} \]
Thus, the slope is:
\[ m = -\frac{3}{2} \]
The simplified slope of the line that passes through the points \((8, 10)\) and \((6, 13)\) is \(-\frac{3}{2}\).
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