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

Answer 1

To find the slope of the line that passes through the points \((-3, 6)\) and \((2, 1)\), you can use the slope formula:

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

Here, \((x_1, y_1) = (-3, 6)\) and \((x_2, y_2) = (2, 1)\).

Substituting the values into the formula:

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

Calculating the differences:

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

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