Point m is on the line y = 2x. If the distance from m to the origin is equal to the distance from m to the line x-2y + 8 = 0, find the coordinates of point M

Let the coordinates of M be (a, 2a), then
a^2+4a^2=(a-2a+8)^2/(1^2+2^2)
3a^2+2a-8=0
A = - 2 or a = 4 / 3
The coordinates of point m are (- 2, - 4) or (4 / 3,8 / 3)

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