Question

The equation of the tangent line to the curve x^2+y^2=169 at the point (5,-12) is

Answer 1

first to find the slope of the tangent line you need y'

Answer 2

2x+2yy'=0
x+yy'=0
y'=-x/y
now to find slope just plug 5 in for x and -12 for y

Answer 3

y=mx+b
y=-5x/12+b
we know a point on this line so we can find b
-12=-5(5)/12+b
solve for b
and then we will have equation of the line

Answer 4

b=-12+25/12=-119/12
y=-5x/12-119/12

Answer 5

Thanks! :)

Answer 6

your welcome