You're mixing your x's . . .
1) Find the equations of all tangents to the graph of: .
that passes through the origin (0,0).
Let the point be on the parabola.
. . Note that: . .
A tangent to the curve has slope: .
At point , the slope is: .
The equation of the line through with slope is:
Substitute : .
. . which simplifies to: . .
Since is on this tangent, we have:
Substitute into :