Winygrub55
Winygrub55 Winygrub55
  • 23-08-2022
  • Mathematics
contestada

What is the coordinate of A after a reflection across the given line?

What is the coordinate of A after a reflection across the given line class=

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Medunno13
Medunno13 Medunno13
  • 23-08-2022

Answer:

(-3, 3)

Step-by-step explanation:

The equation of line AB is

[tex]y=-\frac{1}{3}x+2[/tex]

Since the y-intercept of the given line is (0,2), the line AB and the given line intersect at (0,2).

By definition, (0,2) is the midpoint of AA', where A' is the image of A after the reflection.

So, the coordinates of A' are (-3, 3)

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