find the equation of the line tangent to the circle (x-1)^2+(y-1)^2=25 at the point (4,-3)

Question

It is really hard

Answer 1

senter av serkel is (1,1), radius=5

point (4,-3) is +3 in x direkshun from senter & down 4 in y direkshun

line from senter tu point is down from horizontal bi invers sine(4/5)

or if yuze tangent, slope=deltay/deltax=-4/3

Tangent tu serkel is at 90 deg tu radius, so its slope=+3/4

tangent: y=(3/4)x +konst

tu get konst, projekt line tu x=0...deltax=-4,

deltay=slope*deltax=-4*(3/4)=-3

y-intersept av tangent=-3-3=-6

tangent line...y=(3/4)x-6