Question

I will give you a medal!!
Find an equation of the line that is tangent to the circle x^2 + y^2 = 25 at the point
P(−4, −3).
(Give your answer in slope intercept form.)

Answer 1

did u try to take the derivative?

Answer 2

this is a circle whose centre is at (0,0) and the slope of the radius to thE poinT (-4,-3) IS
-3/-4 = 3/4.
the tangent at this point is perpendicular to the radius so its slope will be -4/3

use the geearal form y-y1 = m(x-x1)

where m = the above slope and (x1,y1) = (-4,-3)