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.