Final answer:
Option B) y = x is typically the equation for the line of reflection in a standard coordinate system. However, the other options could be correct depending on the context. The law of reflection states that the angle of incidence equals the angle of reflection.
Step-by-step explanation:
The equation for the line of reflection depends on the context of the reflection. In the geometric sense, if you are reflecting a figure over a line, the line of reflection is the line that acts as the 'mirror' or symmetry line for the reflection. For example, if you're reflecting over the line y = x, every point on the figure gets reflected to a point on the other side of this line such that the line y = x is exactly midway between corresponding points. This would suggest that option B) y = x could represent a line of reflection in a standard coordinate plane. As for the rest of your question, it's important to clarify the context to provide an accurate answer. Nonetheless, the equations listed as choices A) y = -x, C) x = 2, and D) x = 6 could also serve as lines of reflection depending on the specific context and what you are reflecting. Additionally, the law of reflection, illustrated in Figure 1.5, states that the angle of incidence is equal to the angle of reflection (θ₁ = θ₉), which applies to light rays reflecting off surfaces and is measured relative to the normal (perpendicular) to the surface at the point of reflection.