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