Krystina is incorrect because she calculated the change in x over the change in y.
To calculate the slope correctly, we should use the formula \( \text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \).
Using the coordinates (6, -2) and (0, 8):
- Let \( (x_1, y_1) = (6, -2) \) and \( (x_2, y_2) = (0, 8) \).
- Calculate \( \Delta y = y_2 - y_1 = 8 - (-2) = 8 + 2 = 10 \).
- Calculate \( \Delta x = x_2 - x_1 = 0 - 6 = -6 \).
Now, substitute these values into the slope formula:
\[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{10}{-6} = -\frac{5}{3}. \]
Thus, the correct slope is \(-\frac{5}{3}\).