When the line x + 2y-2 = 0 is rotated 90 ° anticlockwise around the origin, the linear equation is______ .

When the line x + 2y-2 = 0 is rotated 90 ° anticlockwise around the origin, the linear equation is______ .

A straight line x + 2y-2 = 0 passes through two points (2,0), (0,1), and rotates it 90 ° counterclockwise around the origin of the coordinate to get the coordinates of the corresponding points as (0,2), (- 1,0). If the analytical formula of the straight line passing through these two points is y = KX + B, then B = 2 − K + B = 0, the solution is k = 2, B = 2, that is, the analytical formula of the rotated line is y = 2x + 2, that is, 2x-y + 2 = 0. So the answer is: 2x-y + 2 = 0