Answer:

“The question cannot be answered without knowing the scale factor.”

Step-by-step explanation:

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.