To identify the slope of the red line shown in the graph, we can use the formula for slope, which is:

$m = \frac{{\text{change in } y}}{{\text{change in } x}} = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

By analyzing the graph:

• The line crosses through the points $(-4, -4)$ and $(4, 4)$.

Now we calculate the slope: $m = \frac{{4 - (-4)}}{{4 - (-4)}} = \frac{{4 + 4}}{{4 + 4}} = \frac{8}{8} = 1$

Thus, the slope of the line is 1, which corresponds to option A.

Would you like further details on how to calculate slopes or have any other questions?

Here are 5 related questions:

1. How do we interpret a positive slope versus a negative slope?
2. What happens to the slope if the line is horizontal or vertical?
3. Can you calculate the slope if only the equation of the line is given?
4. How does changing the slope affect the steepness of a line?
5. How can the slope formula be applied to real-world situations like speed?

Tip: A positive slope means the line rises from left to right, while a negative slope means it falls from left to right.