Question

find the slope of the line that passes through \\((8, -9)\\) and \\((83, 41)\\).

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

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (8, -9),\quad (x_2, y_2) = (83, 41) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{41 - (-9)}{83 - 8} $$

Simplify the fraction

$$ m = \frac{41 + 9}{75} = \frac{50}{75} = \frac{2}{3} $$

Answer:

Find the slope of the line that passes through \((8, -9)\) and \((83, 41)\).

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

<blank>\(\frac{2}{3}\)</blank>