Question

find the slope of the line that passes through \\((76, 3)\\) and \\((56, -2)\\).

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

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (76, 3),\quad (x_2, y_2) = (56, -2) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 3}{56 - 76} $$

Simplify the fraction

$$ m = \frac{-5}{-20} = \frac{1}{4} $$

Answer:

Find the slope of the line that passes through (76, 3) and (56, -2).

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

<blank>\(\frac{1}{4}\)</blank>