**Answer:**

(A)(12, 9)

**Step-by-step explanation:**

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point and end point in the ratio m:n, we use the formula

, , Q(x,y)=(4,1), m:n=1:4

Therefore:

The correct option is A.