Answer:

Step-by-step explanation:
The equation of the line I is 
Scale factor =
, center = (0, 0)
To find the dilated line, we need follow the steps below:
Step 1: Draw the equation of the given line I
Step 2: Let's take a point from the line.
Let's take (2, 6) which is on the line I.
Let's find the dilated point by the scale factor 
Multiply the point (2, 6) by
, we get
(
= (1, 3)
Step 3: Write the equation of the new line (Image I)
The dilated line has the same slope.
So slope (m) = 
x = 1 and y = 3
Now let's find the slope intercept.
y = mx + b
Plug in x = 1, y = 3 and slope (m) = 
3 =
.1 + b
3 =
+ b
b = 3 - 
b = 
Now let's find the equation of the image I.
y = mx + b

The required equation is
after the dilation of scale factor.