## Math Problem Statement

A line perpendicular to the line segment joining the points A(1,0)*A*(1,0) and B(2,3)*B*(2,3), divides it at C*C* in the ratio of 1:31:3. Then the equation of the line is*?*

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Coordinate Geometry

Section Formula

Slopes of Perpendicular Lines

Equation of a Line

### Formulas

Section Formula: C(x, y) = ((mx2 + nx1) / (m+n), (my2 + ny1) / (m+n))

Slope of a Line: m = (y2 - y1) / (x2 - x1)

Equation of a Line: y - y1 = m(x - x1)

### Theorems

Negative Reciprocal of Slopes of Perpendicular Lines

### Suitable Grade Level

Grades 10-12

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