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Which of the following lines does not intersect the y-axis and therefore has no y-intercept?

Answer and explanation

Correct answer: \(x=3\)

\(x=3\) is a vertical line parallel to the y-axis, \(x=0\), so it never meets the y-axis and has no y-intercept. In contrast, \(x+y=3\) gives \(y=3\) when \(x=0\). Exam tip: \(x=c\), for \(c\ne0\), has no y-intercept.

Related tags

Slope And InterceptY-InterceptVertical LinesCoordinate GeometryLinear EquationsSlope And Y InterceptIntroduction To PolynomialsMathematics

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