Question
Find the slope of the line that passes through \( (10,10) \) and \( (3,8) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Ask by Romero Schmidt. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
La pendiente es \( \frac{2}{7} \).
Solution
La pendiente de la recta que pasa por los puntos \( (10,10) \) y \( (3,8) \) es \( \frac{2}{7} \).
**Cálculo detallado:**
La fórmula para la pendiente \( m \) entre dos puntos \( (x_1, y_1) \) y \( (x_2, y_2) \) es:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Sustituyendo los valores dados:
\[
m = \frac{8 - 10}{3 - 10} = \frac{-2}{-7} = \frac{2}{7}
\]
Por lo tanto, la pendiente es \( \frac{2}{7} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the slope of the line that passes through the points \( (10,10) \) and \( (3,8) \), we can use the formula for slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, we can assign: - \( (x_1, y_1) = (10, 10) \) - \( (x_2, y_2) = (3, 8) \) Substituting the values into the formula gives: \[ m = \frac{8 - 10}{3 - 10} = \frac{-2}{-7} = \frac{2}{7} \] Therefore, the slope of the line is \( \frac{2}{7} \).
