qsht0nn
qsht0nn qsht0nn
  • 22-04-2022
  • Mathematics
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5. The equation y=3/2 is rotated 180° around the origin. What is the equation of the image line?

5 The equation y32 is rotated 180 around the origin What is the equation of the image line class=

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sqdancefan
sqdancefan sqdancefan
  • 24-04-2022

Answer:

  (d)  y' = 3/2x

Step-by-step explanation:

The transformation for rotating a figure 180° about the origin is ...

  (x, y) ⇒ (-x, -y)

__

Given the line ...

  y = 3/2x

The translation of it is ...

  -y' = 3/2(-x)

Simplifying gives ...

  y' = 3/2x

_____

Additional comment

Rotation 180° about the origin is equivalent to reflection across the origin. For a line that passes through the origin, that reflection is simply the original line, as we can see in the equations above.

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