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.

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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)})

Answer

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)})

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.

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