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>
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