SOLUTION: Please help me with this question. A tangent to the parabola x^2 = 16y is perpendicular to the line x - 2y - 3 = 0 .find the equation of this tangent and the coordinate of the po

Question 935929: Please help me with this question.
A tangent to the parabola x^2 = 16y is perpendicular to the line x - 2y - 3 = 0 .find the equation of this tangent and the coordinate of the point of conduct
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

You want a slope of the desired line to be , negative reciprocal of that slope. You do not know the y-intercept of . You want THIS line to intersect the parabola AT ONE POINT, ....

, you need discriminant of this to be 0. This will ensure the intersection will be ONE POINT.

Now you have the line and you want to know the intersection of this with the parabola .
-

THIS means, and the corresponding coordinate y is

NEXT:
What is the line with slope and with the point (-16,16) ?
Use the point-slope form equation for a line to form the equation of this line.
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