To find the slope of the line passing through the points \((6, -5)\) and \((-4, 3)\), we can use the slope formula:
\[ m = \frac{Y^2 - Y^1}{X^2 - X^1} \]
From the first ordered pair \((6, -5)\):
- \(X^1 = 6\)
- \(Y^1 = -5\)
From the second ordered pair \((-4, 3)\):
- \(X^2 = -4\)
- \(Y^2 = 3\)
Now we can substitute the coordinates into the slope formula:
\[ m = \frac{3 - (-5)}{-4 - 6} \]
This simplifies to:
\[ m = \frac{3 + 5}{-4 - 6} = \frac{8}{-10} = -\frac{4}{5} \]
So, the slope of the line passing through the points \((6, -5)\) and \((-4, 3)\) is \(-\frac{4}{5}\).
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