Question

Find the slope of the line that contains the following pair of points: (2, 4) , (0, 8).

Answer 1

To find the slope of the line that contains the points \((2, 4)\) and \((0, 8)\), we can use the formula for the slope \(m\) given by:

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

Here, we can assign:
- \((x_1, y_1) = (2, 4)\)
- \((x_2, y_2) = (0, 8)\)

Now, substituting the values into the slope formula:

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

Calculating the numerator and the denominator:

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

Thus, the slope of the line containing the points \((2, 4)\) and \((0, 8)\) is \(\boxed{-2}\).