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What type of line does the equation \(x=3\) represent on a graph?

Answer and explanation

Correct answer: A vertical line parallel to the (y)-axis

In the equation \(x=3\), the \(x\)-coordinate of every point is 3, while the \(y\)-coordinate can have any value. Hence, all such points lie on a vertical line parallel to the \(y\)-axis. Option B would be correct for \(y=3\). Exam tip: a constant \(x\)-value gives a vertical line, whereas a constant \(y\)-value gives a horizontal line.

Related tags

Pair Of Linear EquationsGraphical MethodVertical LineCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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