Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point
[tex]P(x, y)[/tex]
If we reflect a point [tex]P(x, y)[/tex] across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
