Question

find the slope of the line that passes through \\((16, 21)\\) and \\((56, 16)\\).

simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Identify coordinates

$$ (x_1, y_1) = (16, 21),\quad (x_2, y_2) = (56, 16) $$

Apply slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{16 - 21}{56 - 16} $$

Simplify fraction

$$ m = \frac{-5}{40} = -\frac{1}{8} $$

Answer:

Find the slope of the line that passes through (16, 21) and (56, 16).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

<blank>\(-\frac{1}{8}\)</blank>