Find the slope of the line that contains the following pair of points: (2, 4) , (0, 8) . (1 point) Responses –2 – 2 −12 - 1 2 16 1 6 6

1 answer

To find the slope \( m \) of a line that passes through the points \( (x_1, y_1) = (2, 4) \) and \( (x_2, y_2) = (0, 8) \), we can use the slope formula:

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

Substituting in the values:

\[ m = \frac{8 - 4}{0 - 2} \] \[ m = \frac{4}{-2} \] \[ m = -2 \]

Thus, the slope of the line is \( -2 \).