Answer:
[tex]y = \frac{1}{4}x - 8[/tex]
Step-by-step explanation:
Assuming we want to find the equation after
[tex]y = \frac{1}{4}x - 2[/tex]
is dilated by a scale factor of 4 centered at the origin.
Note that after a dilation about the origin, the image and the preimage line are parallel.
However there the new y-intercept will be 4×-2=-8
The new equation is
[tex]y = \frac{1}{4}x - 8[/tex]
