Question

find the slope of the line that passes through \\((-50, -10)\\) and \\((-16, 77)\\).

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

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (-50, -10),\quad (x_2, y_2) = (-16, 77) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{77 - (-10)}{-16 - (-50)} $$

Simplify the fraction

$$ m = \frac{77 + 10}{-16 + 50} = \frac{87}{34} $$

Answer:

Find the slope of the line that passes through \((-50, -10)\) and \((-16, 77)\).

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

<blank>\(\frac{87}{34}\)</blank>