https://file.aiquickdraw.com/mathbot/file/1727445605774uhc9ncyk.jpg

To find the slope of the line passing through the points \((3,4)\) and \((-6,10)\), we can use the slope formula:

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

Where:
- \((x_1, y_1) = (3, 4)\)
- \((x_2, y_2) = (-6, 10)\)

Substitute the values into the formula:

\[
\text{slope} = \frac{10 - 4}{-6 - 3} = \frac{6}{-9} = -\frac{2}{3}
\]

Thus, the slope of the line is \(-\frac{2}{3}\), which corresponds to option (3).

Do you have any questions or need further details?

Here are 5 related questions to deepen your understanding:
1. How do you find the slope if given two points with the same x-coordinates?
2. What would the equation of the line be if it passed through these points?
3. How does the slope relate to the steepness of the line?
4. If the slope was positive, what would that imply about the direction of the line?
5. How does the slope of a horizontal line differ from that of a vertical line?

**Tip:** When calculating slope, always pay attention to the signs of the coordinates, as they affect the result.

What is the slope of the line containing the points (3,4) and (-6,10)?

Learn how to find the slope of a line passing through the points (3,4) and (-6,10). This problem involves key algebraic concepts and the slope formula. Suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation