To find the slope of the line that passes through the points \((8, 8)\) and \((3, 5)\), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \((x_1, y_1)\) and \((x_2, y_2)\) are the two points, where:
- \((x_1, y_1) = (8, 8)\)
- \((x_2, y_2) = (3, 5)\)
Plugging in the values:
\[ m = \frac{5 - 8}{3 - 8} \]
Calculating the numerator and denominator:
\[ m = \frac{-3}{-5} \]
Since both the numerator and denominator are negative, we can simplify:
\[ m = \frac{3}{5} \]
Thus, the slope of the line that passes through the points \((8, 8)\) and \((3, 5)\) is \(\frac{3}{5}\).
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