Points of intersection...?
A is the point with coordinates (1,4) on the curve y=4x^2. B is the point with coordinates (0,1).
The line through A and B intersects the curve again at the point C. Show that the coordinates of C are (-1/4, 1/4).
Use calculus to find the equation of the tangent to the curve at A and verify that the equation of the tangent at C is y=-2x-1/4.
The two tangents intersect at the point D. Find the y-coordinate of D.

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you have two equations y = 4x^2 and another is y = rise *x / run + intercept or y = mx + b

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