A linear transformation is defined as $L(x, y)=(x-3 y, x)$. For the input point $(-4,1)$, find the coordinates of evaluating $L(-4,1)$ and plot the resulting point on the axes below.

Step 1 ：Substitute the input point (-4, 1) into the transformation equation L(x, y) = (x - 3y, x): L(-4, 1) = (-4 - 3(1), -4)

Step 2 ：Evaluate the expression: L(-4, 1) = (-7, -4)

Step 3 ：The coordinates of the point after applying the linear transformation are \(\boxed{(-7, -4)}\)