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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