https://file.aiquickdraw.com/mathbot/file/1732402911138y7qzcwui.jpg

To find the slope of the line, we use the formula for slope:

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

From the graph, the two points provided are \((3, 3)\) and \((4, 6)\).

Substitute these values into the slope formula:

\[
m = \frac{6 - 3}{4 - 3} = \frac{3}{1} = 3
\]

Thus, the slope of the line is **3**.

Would you like further clarification or assistance? Here are some related questions to explore:

1. How is slope used in real-world applications?
2. What is the equation of this line in slope-intercept form?
3. How do we determine if two lines are parallel based on their slopes?
4. Can we find the slope if only one point and the equation are given?
5. How do horizontal and vertical lines differ in terms of slope?

**Tip:** Always remember that the slope represents the rate of change, showing how much \(y\) changes for a unit increase in \(x\).

Learn how to calculate the slope of a line given two points (3, 3) and (4, 6). This problem focuses on coordinate geometry concepts and the slope formula, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation