Question
Download Solution PDFWhat is the reflection of the point (-1, 3) in the line x = -4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the reflected point be (x, y).
Then the midpoint of (-1, 3) and (x, y) i.e. [(x-1)/2, (y+3)/2] must lie on the line x = -4.
⇒ (x – 1) / 2 = -4
⇒ x = -8 + 1 = -7
Since the line joining the original and the reflected point in perpendicular to x = -4, hence its slope will be equal to 0.
⇒ [y – 3]/[(-7) – (-1)] = 0
⇒ y – 3 = 0
⇒ y = 3
∴ The reflected point is (-7, 3).
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