Question

At what y points on the curve xy = 25 is the tangent line parallel to 5x + y = 0?

Answer 1

when its slope is -a/b given the form ax + by = c

Answer 2

the derivative of xy=25 wrt x is:

y + xy' = 0; y' = -y/x = -5/1

Answer 3

need some x,y in xy that comes at to 25 and slopes to -5/1

Answer 4

or something like that :)

Answer 5

plus minus sqrt 5?

Answer 6

we could look at this as y = 25/x to get

y' = -25/x^2 = -5

Answer 7

to wit estudier gives good advise

Answer 8

-25/x^2 = -5