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

Can please someone explain this to me and show all work very confused

1 answer

Find the derivative implicityl

2(x-1) + 2(y-1) dy/dx = 0

plug in (4,-3) , find dy/dx, which is the slope

Now that you have the slope and a point, use the method you learned to find the equation of the straight line