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.

Answer 1

y = 3x + 5

Explanation:

Answer 2

It is another line parallel to y = 3x + 5.

Explanation:

When subject to dilation, any line not through the center of dilation will have an image that is parallel to the pre-image line.

The line y = 3x+5 has a y-intercept that is not the origin (center of dilation), so its image is a parallel line.