https://file.aiquickdraw.com/mathbot/file/1726851896850xcwjbucp.jpg

To find the slope of the line passing through the points \((7, -6)\) and \((9, 2)\), we use the slope formula:

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

Here, \((x_1, y_1) = (7, -6)\) and \((x_2, y_2) = (9, 2)\). Substituting these values into the formula:

\[
m = \frac{2 - (-6)}{9 - 7} = \frac{2 + 6}{2} = \frac{8}{2} = 4
\]

So, the slope of the line is \(4\).

Thus, the correct answer is:
- Option A: The slope is \(4\).

Would you like more details or have any further questions?

---

Here are 5 related questions to explore:

1. How do you find the slope if the line is vertical?
2. What is the slope of a horizontal line?
3. Can you find the equation of a line using the slope and one point?
4. How does changing the slope affect the angle of a line?
5. What happens to the slope if the coordinates of the points are reversed?

**Tip:** The slope describes the rate of change between two points. A larger slope means a steeper line!

Find the slope of the line that goes through the given points (7, -6) and (9, 2).

Learn how to find the slope of a line that passes through the points (7, -6) and (9, 2). This problem involves key algebraic concepts and uses the slope formula. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation