To determine the slope ($m$) of the blue line, we use the slope formula:

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

Step 1: Identify two points on the line.

From the graph, the points appear to be:

• $(1, 3)$
• $(4, -3)$

Step 2: Substitute the coordinates into the slope formula.

$m = \frac{-3 - 3}{4 - 1} = \frac{-6}{3} = -2$

The slope of the blue line is $-2$.

Answer:

The correct slope is -2.

Would you like further explanation or additional help?

Here are some related questions for deeper understanding:

1. What would the equation of the line be with this slope and a given y-intercept?
2. How does the negative slope influence the direction of the line?
3. What would the slope be if the line were flipped vertically?
4. How can you find the slope if the points are not explicitly labeled?
5. How would the graph change if the slope were $2$ instead of $-2$?

Tip: Always check the direction of the line—if it slopes downward from left to right, the slope is negative.