https://file.aiquickdraw.com/mathbot/file/1727304238939za05x2xv.jpg

To determine the slope of the line passing through the points \((4, -8)\) and \((-4, 4)\), we use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where:
- \( (x_1, y_1) = (4, -8) \)
- \( (x_2, y_2) = (-4, 4) \)

Substituting the values:

\[
m = \frac{4 - (-8)}{-4 - 4} = \frac{4 + 8}{-8} = \frac{12}{-8} = -\frac{3}{2}
\]

Thus, the slope of the line is:

\[
m = -\frac{3}{2}
\]

Would you like more details or have any further questions? 

Here are five related questions to explore further:
1. How do you find the equation of the line given two points?
2. What does a negative slope indicate about the line's direction?
3. How do you calculate the midpoint of the line segment between two points?
4. Can you find the distance between the points \((4, -8)\) and \((-4, 4)\)?
5. What are parallel and perpendicular slopes in terms of relationships?

**Tip:** Remember, a negative slope means the line is decreasing from left to right.

Determine the slope of the line passing through the points (4, -8) and (-4, 4).

Learn how to find the slope of the line passing through the points (4, -8) and (-4, 4) using the slope formula. This problem covers coordinate geometry concepts and is suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation