Question
What is the slope of the line through \( (-5,-10) \) and \( (-1,5) \) ? Choose 1 answer: (A) \( \frac{15}{4} \) (B) \( \frac{4}{15} \) (C) \( -\frac{4}{15} \) (D) \( -\frac{15}{4} \)
Ask by Schultz Clarke. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The slope of the line is \( \frac{15}{4} \).
Solution
To find the slope \( m \) of the line passing through the points \( (-5, -10) \) and \( (-1, 5) \), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Plugging in the given points:
\[
m = \frac{5 - (-10)}{-1 - (-5)} = \frac{15}{4}
\]
**Answer:**
**(A) \( \frac{15}{4} \)**
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Simplify this solution The Deep Dive
To find the slope of the line through the points \((-5, -10)\) and \((-1, 5)\), we use the slope formula, which is \(\frac{y_2 - y_1}{x_2 - x_1}\). Plugging in the given coordinates, we have: - \(y_2 = 5\), \(y_1 = -10\) - \(x_2 = -1\), \(x_1 = -5\) Calculating it step by step: 1. \(y_2 - y_1 = 5 - (-10) = 5 + 10 = 15\) 2. \(x_2 - x_1 = -1 - (-5) = -1 + 5 = 4\) Now we can find the slope: \[ \text{slope} = \frac{15}{4} \] So, the correct answer is (A) \( \frac{15}{4} \).
