“The question cannot be answered without knowing the scale factor.”
The complete question:
A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?
- It is the same line.
It is another line parallel to y = 3x + 5.
The image is not a line.
The question cannot be answered without knowing the scale factor.
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
Thus, the scale factor is really important and we can’t say anything about this dilation since scale factor isn’t known.