Question

question
what is the slope of the line that passes through the points (8, -8) and (5, -12)? write your answer in
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Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Here, \( x_1 = 8, y_1=-8, x_2 = 5, y_2=-12 \).

Step3: Substitute into formula

\( m=\frac{-12 - (-8)}{5 - 8}=\frac{-12 + 8}{-3}=\frac{-4}{-3}=\frac{4}{3} \).

Answer:

\(\frac{4}{3}\)