Which is the \(x\)-intercept of the graph of \(5x+y=30\)?
Answer and explanation
Correct answer: \((6,0)\)
To find the \(x\)-intercept, put \(y=0\), because every point on the \(x\)-axis has a zero \(y\)-coordinate. Thus, \(5x+0=30\), giving \(x=6\); hence the intercept is \((6,0)\). Option B is incorrect because substituting \((5,0)\) does not satisfy the equation. Exam tip: set \(y=0\) for the \(x\)-intercept and \(x=0\) for the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\((6,0)\)
Why is this the correct answer?
To find the \(x\)-intercept, put \(y=0\), because every point on the \(x\)-axis has a zero \(y\)-coordinate. Thus, \(5x+0=30\), giving \(x=6\); hence the intercept is \((6,0)\). Option B is incorrect because substituting \((5,0)\) does not satisfy the equation. Exam tip: set \(y=0\) for the \(x\)-intercept and \(x=0\) for the \(y\)-intercept.
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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