Math Problem Statement
Find an equation of the line that satisfies the given conditions. Through (−2, 3); perpendicular to the line y = − 1 2 x + 6
Solution
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Equations of Lines
Slopes of Perpendicular Lines
Formulas
Point-slope form: y - y1 = m(x - x1)
Slope of a perpendicular line: m_perpendicular = -1/m
Theorems
The slope of perpendicular lines: If two lines are perpendicular, the product of their slopes is -1.
Suitable Grade Level
Grades 9-12
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