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.
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What is the correct answer to this question?
A vertical line parallel to the (y)-axis
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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