A point (x,y)(x, y)(x,y) is transformed by T(x,y)=(x+2,y−3)T(x, y) = (x+2, y-3)T(x,y)=(x+2,y−3). Is this transformation linear?
Yes, it is a linear transformation.
No, because linear transformations must map (0,0)(0, 0)(0,0) to (0,0)(0, 0)(0,0).
Yes, because it preserves lines.
No, because the slope changes.