Krystina's calculation for the slope is incorrect.
The correct formula for the slope of a line is given by:
\[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's define the points:
- Point 1: (6, -2) → \( (x_1, y_1) = (6, -2) \)
- Point 2: (0, 8) → \( (x_2, y_2) = (0, 8) \)
Now, calculating the slope:
\[ \Delta y = y_2 - y_1 = 8 - (-2) = 8 + 2 = 10 \]
\[ \Delta x = x_2 - x_1 = 0 - 6 = -6 \]
Now, plug these values into the slope formula:
\[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{10}{-6} = -\frac{5}{3} \]
In Krystina's calculation, she mistakenly calculated the changes and arrived at an incorrect result of \(-\frac{610}{10}\), which leads to a wrong value for the slope.
The correct response is:
Krystina is incorrect because she calculated the change in y over the change in x.