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Equation of given curve is

means slope of normal and line is equal










Parellel to line
We know that, equation of line
y= mx + c
on comparing it with our given equation. we get,
Slope of tangent =
We know that
Now, when x = 2,
and
When x = -2 ,
Hence, the coordinates are (2,18) and (-2,-6)
Now, the equation of at point (2,18) with slope
Similarly, the equation of at point (-2,-6) with slope
Hence, the equation of the normals to the curve
to the line
are x +14y - 254 = 0 and x + 14y +86 = 0