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Which of the following lines has an undefined slope and does not intersect the \(y\)-axis?

Answer and explanation

Correct answer: \(x=4\)

\(x=4\) is a vertical line, so its slope is undefined. It cannot meet the \(y\)-axis because every point on the \(y\)-axis has \(x=0\). In contrast, \(y=-3\) has slope 0. Exam tip: \(x=\text{constant}\) represents a vertical line.

Related tags

SlopeY-InterceptCoordinate GeometryVertical LineLinear EquationsSlope And Y InterceptIntroduction To PolynomialsMathematics

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