What is the slope of this line?

A = -2, 6

B = 2, -2

1 answer

To find the slope of the line passing through the points \( A = (-2, 6) \) and \( B = (2, -2) \), we can use the formula for the slope \( m \), which is given by:

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

In this case, we can label the coordinates as follows:

  • \( (x_1, y_1) = (-2, 6) \)
  • \( (x_2, y_2) = (2, -2) \)

Now, substituting these values into the slope formula:

\[ m = \frac{-2 - 6}{2 - (-2)} = \frac{-2 - 6}{2 + 2} = \frac{-8}{4} = -2 \]

Therefore, the slope of the line is \( \boxed{-2} \).