To find the vertical line of reflection for the octagon plotted in quadrant 2, we need to determine the line's x-coordinate, which will be the midpoint of the x-coordinates of the vertices of the polygon.
Given the coordinates of the two vertices mentioned: (-3.4, 6) and (-4.4, 5), we can take the average of their x-coordinates to find the line of reflection.
The x-coordinates are:
- -3.4
- -4.4
Calculating the midpoint:
\[ \text{Midpoint} = \frac{-3.4 + (-4.4)}{2} = \frac{-3.4 - 4.4}{2} = \frac{-7.8}{2} = -3.9 \]
Thus, the vertical line of reflection is:
\[ x = -3.9 \]
So, the complete equation for the vertical line of reflection is x = -3.9.