Question
Find the slope of the line that passes through \( (3,8) \) and \( (7,3) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer. Submit
Ask by Davies Hampton. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope of the line is \(-\frac{5}{4}\).
Solution
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Beyond the Answer
To find the slope of the line that passes through the points \( (3,8) \) and \( (7,3) \), we use the formula for slope \( m \): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (3, 8) \) and \( (x_2, y_2) = (7, 3) \). Plugging in the values: \[ m = \frac{3 - 8}{7 - 3} = \frac{-5}{4} \] So, the slope of the line is \( \frac{-5}{4} \).
