Answer:
Explanation:
The slope (\(m\)) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
For the given points \((5, -3)\) and \((-1, 6)\), let's substitute the coordinates into the formula:
\[ m = \frac{6 - (-3)}{(-1) - 5} \]
Simplify the expression:
\[ m = \frac{9}{-6} \]
\[ m = -\frac{3}{2} \]
So, the slope of the line passing through the points \((5, -3)\) and \((-1, 6)\) is \(-\frac{3}{2}\).