https://file.aiquickdraw.com/mathbot/file/1727371506276qlrvbkxc.jpg

The line in the graph starts at the point \((9, 0)\) and ends at approximately \((-9, 8)\).

### Step 1: Calculate the **rise** (vertical change)
The rise is the difference in the \(y\)-coordinates:
\[
\text{Rise} = 8 - 0 = 8
\]

### Step 2: Calculate the **run** (horizontal change)
The run is the difference in the \(x\)-coordinates:
\[
\text{Run} = -9 - 9 = -18
\]

### Step 3: Determine the slope
The slope of a line is calculated as:
\[
\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{8}{-18} = \frac{4}{-9} = -\frac{4}{9}
\]

Thus, the slope of the line is **\(-\frac{4}{9}\)**.

Let me know if you need more details or if you have any questions!

---

Here are 5 related questions you might consider:
1. How would the slope change if the line was steeper?
2. What does a positive slope represent compared to a negative slope?
3. How can you determine the equation of the line from the graph?
4. What is the y-intercept of the line in this case?
5. How would you find the slope if the points were not given but you had the equation of the line?

**Tip:** When calculating slope, always remember that a negative slope means the line is slanting downwards from left to right!

Draw a line representing the 'rise' and a line representing the 'run' of the line. State the slope of the line in simplest form.

Learn how to find the slope of a line from a graph by determining the rise and run between two points. This problem covers key concepts in coordinate geometry, including how to calculate the slope using the formula (rise/run). 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