To find the slope of the line from the graph you provided, we will follow these steps:

Step 1: Identify two points on the line.

Looking at the graph, we can clearly see two points where the line crosses the grid:

• Point 1: (-5, 4)
• Point 2: (0, 1)

Step 2: Use the slope formula.

The formula to find the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Step 3: Plug in the coordinates.

Substitute the points (-5, 4) and (0, 1) into the formula:

$m = \frac{1 - 4}{0 - (-5)} = \frac{-3}{5}$

Step 4: Simplify.

The slope of the line is:

$m = -\frac{3}{5}$

Thus, the slope of the line is $-\frac{3}{5}$.

Would you like any further clarification or details on this problem?

Here are five related questions to deepen your understanding:

1. What does a negative slope represent in terms of the direction of a line?
2. How would you find the slope of a horizontal line?
3. Can the slope formula be used if the two points are the same? Why or why not?
4. How can we determine the slope from the equation of a line in slope-intercept form?
5. What is the difference between a steep slope and a shallow slope?

Tip: The greater the absolute value of the slope, the steeper the line!