A line passes through (2, 2) and is perpendicular to y ... – Geometry

Geometrymedium · Past Paper

A line passes through (2, 2) and is perpendicular to y = x. Its equation is:

Ax + y = 4

Bx - y = 0

Cx + y = 0

Dy = x + 4

✓ Correct Answer: A — x + y = 4

Slope of y=x is 1. Perpendicular slope is -1. Equation: y - 2 = -1(x - 2) => y - 2 = -x + 2 => x + y = 4.

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