The problem asks for the slope of the line representing the conversion of degrees to gradients based on the table provided. The slope of a line can be found using the formula:

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

Where $x_1, x_2$ are degrees and $y_1, y_2$ are gradients. We can use any two points from the table to calculate the slope.

From the table, let's use:

• Point 1: $(-180, -200)$
• Point 2: $(180, 200)$

Substituting these values into the slope formula:

$\text{slope} = \frac{200 - (-200)}{180 - (-180)} = \frac{200 + 200}{180 + 180} = \frac{400}{360} = 1.11$

So, the slope is approximately $1.11$ rounded to the nearest hundredth.

Would you like any more details or clarifications?

Here are some related questions to deepen your understanding:

1. How does the concept of slope apply to linear equations?
2. Why does choosing different points on this line give the same slope?
3. What does the slope represent in the context of converting degrees to gradients?
4. How would you determine the equation of the line that represents this conversion?
5. How can you verify if the relationship between degrees and gradients is linear?

Tip: When calculating slope, always ensure you subtract values in the same order (i.e., $y_2 - y_1$ and $x_2 - x_1$) to avoid sign errors.