https://file.aiquickdraw.com/mathbot/file/1726670795173yw7psazo.jpg

The slope of a line on a graph can be determined using the formula:

\[
\text{slope} = \frac{\Delta y}{\Delta x}
\]

Where:
- \( \Delta y \) is the change in y-coordinates (vertical change),
- \( \Delta x \) is the change in x-coordinates (horizontal change).

From the graph, you can pick two points and use their coordinates to calculate the slope. Looking at the graph, let's use the points:
- Point 1: \( (2, 1) \)
- Point 2: \( (8, 5) \)

Now, we can calculate the slope:

\[
\text{slope} = \frac{5 - 1}{8 - 2} = \frac{4}{6} = \frac{2}{3}
\]

So, the slope of the line is \( \frac{2}{3} \).

Would you like more details or have any other questions on this topic? Here are some additional questions you might consider:

1. How do you find the y-intercept of this line?
2. What is the equation of this line in slope-intercept form?
3. How would the graph change if the slope were negative?
4. What does the slope tell you about the relationship between x and y?
5. How can you use this line to predict values outside the given data?

**Tip:** When determining the slope from a graph, ensure you are selecting exact points that the line passes through to avoid calculation errors.

Find the slope of the line from the graph.

Learn how to find the slope of a line using the formula 'Slope = (Change in y) / (Change in x)'. This problem explains the process using points from the graph, making it suitable for Grades 6-9 students learning about coordinate geometry.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation