Question

find the slope of the line that passes through \\((-49, 27)\\) and \\((-42, 14)\\).

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

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (-49, 27),\quad (x_2, y_2) = (-42, 14) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{14 - 27}{-42 - (-49)} $$

Simplify the expression

$$ m = \frac{-13}{-42 + 49} = \frac{-13}{7} = -\frac{13}{7} $$

Answer:

Find the slope of the line that passes through \((-49, 27)\) and \((-42, 14)\).

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

<blank>\(-\frac{13}{7}\)</blank>