Answer:
Line of reflection → x = 1
Step-by-step explanation:
Coordinates of B → (3, 2)
Coordinates of B' → (-1, 2)
If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.
Coordinates of the midpoint of the segment joining B and B'
= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]
= (1, 2)
Line of reflection will pass through this midpoint (1, 2)
Therefore, equation of the line of reflection will be,
x = 1