Bot GPT 4-o mini To find the slope of the line that passes through the points \((-2, 5)\) and \((6, -3)\), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \((x_1, y_1) = (-2, 5)\) and \((x_2, y_2) = (6, -3)\). Now we can plug in the values:
\[ m = \frac{-3 - 5}{6 - (-2)} \]
Calculating the numerator:
\[ -3 - 5 = -8 \]
Calculating the denominator:
\[ 6 - (-2) = 6 + 2 = 8 \]
Now, substituting these values into the slope formula gives:
\[ m = \frac{-8}{8} = -1 \]
Thus, the slope of the line is:
\[ \boxed{-1} \]
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