https://file.aiquickdraw.com/mathbot/file/1725393155227qdvdcxt7.jpg

To find the slope of the line graphed in the image, we need to use the formula for the slope of a line, which is:

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

From the image, we can identify two points on the line. Let's identify the coordinates of these points:

- The first point appears to be \((0, 1)\), where the line crosses the y-axis.
- The second point appears to be \((2, 3)\), where the line crosses the grid.

Now, let's calculate the slope:

\[
\text{slope} = \frac{3 - 1}{2 - 0} = \frac{2}{2} = 1
\]

So, the slope of the line is **1**.

Would you like further details, or do you have any other questions?

Here are 5 related questions you might find interesting:

1. What is the significance of the slope of a line in real-world applications?
2. How does the slope relate to the angle of inclination of the line?
3. How would you determine the slope if given an equation instead of a graph?
4. What happens to the slope when the line is vertical or horizontal?
5. Can you determine the equation of the line given the slope and a point on the line?

**Tip:** When identifying points on a graph, make sure to read the coordinates accurately from the grid to avoid calculation errors.

Find the slope of the line graphed below.

Learn how to find the slope of a line from a graph using the slope formula. This example provides step-by-step instructions on identifying points and calculating the slope, a key concept in coordinate geometry. Suitable for students in Grades 8-10.

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