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ISEE Upper Level
Mathematics Achievement

Equation of a Line Parallel to a Side of a Rectangle

Hard Geometry Coordinate Geometry

In the coordinate plane, consider the rectangle defined by the vertices A(1, 2), B(1, 6), C(5, 6), and D(5, 2). A point E is located inside the rectangle at coordinates (3, 4). A line is drawn through point E, parallel to side AB of the rectangle.

What is the equation of the line passing through point E that is parallel to side AB?

Hint

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