# How do you write the equation of the line that is tangent to the circle #(x + 6)^2 + (y + 4)^2 = 25# at the point (-9, -8)?

##### 1 Answer

We will have to differentiate the function through implicit differentiation to find this one.

Let's first distribute:

We start by differentiating both sides:

The slope of the tangent is given by inserting our given point,

Hence,

The equation of the tangent can now be found by using point-slope form, since this will be a straight line.

So, the equation of the tangent to

Hopefully this helps!