https://file.aiquickdraw.com/mathbot/file/1728415048242z4d91ubp.jpg

To find the slope of the line from the graph, we can use the formula for slope, which is given by:

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

We need to choose two points on the line and determine their coordinates to use this formula.

From the graph, it looks like two points on the line are approximately:
- Point 1: \((0, 0)\)
- Point 2: \((2, -2)\)

Plugging these coordinates into the slope formula:
\[
\text{slope} = \frac{{-2 - 0}}{{2 - 0}} = \frac{{-2}}{{2}} = -1
\]

Therefore, the slope of the line is \(-1\).

Would you like more details or have any questions? 

Here are some related questions to expand your understanding:
1. What is the significance of a slope value in a line equation?
2. How do you determine if a slope is positive or negative just by looking at the graph?
3. How do you calculate the slope when the line is vertical or horizontal?
4. What does a slope of zero represent in terms of the line's direction?
5. How would the equation of a line change if the slope were different?

**Tip:** A negative slope means the line decreases as you move from left to right, indicating a downward trend.

Learn how to find the slope of a line from a graph using the slope formula: (y2 - y1) / (x2 - x1). This problem involves identifying two points on the line and calculating the slope, perfect 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