Finding two points where slope of tangent is 16 given implicit differentiation

Question

Consider the unit circle : x²+y²=1

a) Use implicit differentiation to find y'=dy/dx

Answer:

b) Find the two points where the slope of the tangent is 16:

the point with the larger x coordinate is: (?,?)

the point with the smaller x coordinate is: (?,?)

For a), I used implicit differentiation and got y'=-x/y but am stuck on how to find the answers for step b

Answer 1

imp diff gives

2x + 2yy’ =0

y’=-x/y

y=-x/16 plug this ibto the unit circ eq. solve x