The calculated line of reflection of the transformation is y = 5x + 3
How to determine the line of reflection of the transformation
From the question, we have the following parameters that can be used in our computation:
Figures ABC and A'B'C'
Also, we can see that
Both figures extends to two quadrants
This means that the line of reflection must be slant line that extends to each of the quadrants
In this case, the line is the line that passes through (0, 3) and (-1, 2)
So, we have
y = mx + 3
Next, we have
-m + 3 = 2
m = 5
So, we have
y = 5x + 3
Hence, the line of reflection is y = 5x + 3