Find an equation of each line normal to the graph y=2x/(x-1) and parallel to the line 2x-y+1=0

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- Jan 25th 2009, 07:33 PMkinana18Tangent Lines, Parallel Lines, and Normal Lines
Find an equation of each line normal to the graph y=2x/(x-1) and parallel to the line 2x-y+1=0

- Jan 25th 2009, 07:55 PMmollymcf2009
Pretty sure it would just be y = 2x

It runs parallel to y=2x + 1 and would be perpendicular to the tangent lines at those points.

Are you supposed to find one line that will apply to both graphs? - Jan 25th 2009, 08:41 PMmr fantastic
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You want the normal to be parallel to .

To find the x-coordinates of the required normal solve : x = 0, 2.

Therefore the required normal is normal to the curve at (0, 0) and (2, 4). The equation of this normal is y = 2x.

Note: The normal is also the line of symmetry of the curve.