## Math Problem Statement

Write the equation of the line that is perpendicular to the given line described by the equation 6y=−12x−21 and passes through the point (-4, 9).

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Linear Equations

Perpendicular Lines

Slope-Intercept Form

### Formulas

Slope-intercept form: y = mx + b

Point-slope form: y - y1 = m(x - x1)

Slope of perpendicular lines: m1 * m2 = -1

### Theorems

The relationship between the slopes of perpendicular lines (negative reciprocals)

### Suitable Grade Level

Grades 9-11

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