Question
Find the slope of the line that passes through the given points. \( (-8,-5) \) and \( (-4,-8) \) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The slope is \( \square \). (Type an integer or a simplified fraction.) B. The slope is undefined.
Ask by Welch Gibbs. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope is \( -\frac{3}{4} \).
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Beyond the Answer
To find the slope of the line that passes through the points \( (-8,-5) \) and \( (-4,-8) \), we use the formula for slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, let's label the points: where \( (x_1, y_1) = (-8, -5) \) and \( (x_2, y_2) = (-4, -8) \). So, substituting the values into the formula: \( m = \frac{-8 - (-5)}{-4 - (-8)} = \frac{-8 + 5}{-4 + 8} = \frac{-3}{4} \). A. The slope is \( -\frac{3}{4} \).