Math Problem Statement

In geometry, it is known that the tangent line to a circle at a given point A on the circle is perpendicular to the radius drawn to a point A. Suppose that line L is tangent to the given circle at the point (3, 5). Write an equation representing line L. Write your answer using fractions or integers.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Equations of Lines
Perpendicular Slopes

Formulas

Slope formula m = (y2 - y1) / (x2 - x1)
Point-slope form of a line: y - y1 = m(x - x1)

Theorems

The tangent line to a circle is perpendicular to the radius at the point of tangency.

Suitable Grade Level

Grades 9-11

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