Answer:

Step-by-step explanation:
Given:
The original equation of the line 'l' is given as:

Scale factor of dilation is, 
Now, when a line is dilated by some scale factor 'k' centered at the origin, then the parallelism of the line is reserved and only the y intercept changes.
The rule of dilation for a point
with a scale factor 'k' is given as:

The standard form of a line is of the form
, where, 'm' is the slope and 'b' is the y-intercept of the line. On comparing the line 'l' with the standard form, we get:

The y-intercept is at the point (0, 2). Now, applying dilation rules on this point, we get:

So, the new y-intercept after dilation is at (0, 8) or the new value of 'b' is 8.
Therefore, the dilated line equation is given as:
