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posledela
2 years ago
14

A dilation centered at the origin is applied to the line y = 3x + 5.

Mathematics
2 answers:
SOVA2 [1]2 years ago
8 0

Answer:

"The question cannot be answered without knowing the scale factor."

Step-by-step explanation:

<u>The complete question:</u>

<em>A dilation centered at the origin is applied to the line y = 3x + 5.  What is true about the image of the line?</em>

  • <em>It is the same line. </em>
  • <em> It is another line parallel to y = 3x + 5. </em>
  • <em> The image is not a line. </em>
  • <em> The question cannot be answered without knowing the scale factor.</em>

<em />

A dilation, center at origin, with a scale factor of "k", will have a rule:

(x,y) = (kx,ky)

This basically means that the image after dilation will have the points kx and ky respectively.

If k ≠ 1, this means the image is parallel to the line y = 3x + 5

If k = 1, this means the image is same, it coincides with the line y = 3x + 5

<u><em>Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.</em></u>

<em />

<em />

Natalija [7]2 years ago
7 0

Answer:

"The question cannot be answered without knowing the scale factor."

Step-by-step explanation:

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