A line contains the points (−3,6) and (2,1) . What is the slope of the line?(1 point)

Answer 1

To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (-3, 6)\) and \((x_2, y_2) = (2, 1)\), you can use the formula for the slope:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Substituting the coordinates of the points into the formula:

\[ m = \frac{1 - 6}{2 - (-3)} = \frac{1 - 6}{2 + 3} = \frac{-5}{5} = -1 \]

Thus, the slope of the line is \(\boxed{-1}\).