CPM Homework Help : A2C Problem 11-91

Write the equation of the line tangent to the graph of $\left(x − 7\right)^{2} + \left(y − 2\right)^{2} = 169$ at the point $\left(12, 14\right)$ . (Hint: Drawing a diagram will help.)

Step 1:

Draw a diagram to show the situation.

Step 2:

Find the center of the circle. C:(7, 2)

Step 3:

Now find the line passing through the center and given point.

$\textit{y}=-\frac{12}{5}\textit{x}-14.8$

Step 4:

Now find the perpendicular line.

Answer:

$\textit{y}=-\frac{5}{12}\textit{x}+19$