### Home > PC > Chapter 8 > Lesson 8.2.1 > Problem8-73

8-73.

Two tangent lines are drawn on the circle $x^{2} + y^{2} = 25$, one at the point $\left(4, 3\right)$ and the other at the point $\left(−3, 4\right)$. What is the point of intersection for the two tangent lines?

Find the equations of the tangents by using the point-slope form.
The slopes of the tangents are the reciprocals of the slopes of the corresponding radii multiplied by −1.

Set the two equations equal to each other and solve for the coordinates of the intersection.

(1,7)

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