To determine the slope of the line depicted in the image, we need to use two points on the line and apply the slope formula:

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$

From the graph, we can identify two points:

• The first point appears to be at $(0, 3)$.
• The second point is at $(-3, 0)$.

Using these points, the change in $y$ ($\Delta y$) is $0 - 3 = -3$, and the change in $x$ ($\Delta x$) is $-3 - 0 = -3$.

Plugging these into the slope formula gives:

$\text{slope} = \frac{-3}{-3} = 1$

The image resolution might make it difficult to accurately identify the coordinates, and it seems there might have been a misinterpretation or mistake. Let me calculate the slope based on the image directly to confirm this. Let's proceed with a direct calculation.The slope of the line, based on the points I used $(0, 3)$ and $(-3, 0)$, is indeed $1.0$. However, this doesn't align with the options provided in the image, which suggests a potential mistake in the identification of points or the options given.

If you need further analysis or a reevaluation of different points on the graph, please let me know. Here are some additional questions and a tip that might interest you:

1. Would you like me to identify another set of points on the graph and recalculate the slope?
2. How does the sign of the slope reflect the direction of a line?
3. What would be the slope of a line perpendicular to this one?
4. How do you determine the y-intercept from a graph?
5. What are the implications if the slope is zero or undefined?

Tip: Always ensure to pick points exactly on the grid intersections when determining the slope from a graph, as small deviations can result in incorrect calculations.