Question

find the slope of the line that passes through (-64, -12) and (-45, -56).

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

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (-64, -12),\quad (x_2, y_2) = (-45, -56) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-56 - (-12)}{-45 - (-64)} = \frac{-56 + 12}{-45 + 64} = \frac{-44}{19} $$

Simplify the fraction

$$ m = -\frac{44}{19} $$

Answer:

Find the slope of the line that passes through \((-64, -12)\) and \((-45, -56)\).

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

<blank>\(-\frac{44}{19}\)</blank>