Question

find the slope of the line that passes through \\((80, -34)\\) and \\((2, 11)\\).

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

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (80, -34),\quad (x_2, y_2) = (2, 11) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 - (-34)}{2 - 80} $$

Simplify the fraction

$$ m = \frac{11 + 34}{-78} = \frac{45}{-78} = -\frac{15}{26} $$

Answer:

Find the slope of the line that passes through \((80, -34)\) and \((2, 11)\).

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

<blank>\(-\frac{15}{26}\)</blank>