Question

A line passes through the points (2, 8) and (7, 6). Find the slope of the line.
6
-4
-5/2
-2/5

Answer 1

To find the slope of the line that passes through the points \((2, 8)\) and \((7, 6)\), we use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Substituting the coordinates of the points into the formula:

\[
(x_1, y_1) = (2, 8) \quad \text{and} \quad (x_2, y_2) = (7, 6)
\]

Now, calculate the slope:

\[
m = \frac{6 - 8}{7 - 2} = \frac{-2}{5}
\]

Thus, the slope of the line is \(-\frac{2}{5}\).

The correct answer is:
\(-\frac{2}{5}\)