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# At what point does the normal line to y=-4-4x+x^2 at (1,-7) intersect the parabola a second time?

At what point does the normal line to y=-4-4x+x^2 at (1,-7) intersect the parabola a second time?

The normal line is perpendicular to the tangent line.If two lines are perpendicular their slopes are negative reciprocals -i.e. if the slope of the first line is m then the slope of the second line is -1/m