What is the \(x\)-intercept of the line \(4x+y=20\)?
Answer and explanation
Correct answer: (5,0)
The \(x\)-intercept is the point where the line crosses the \(x\)-axis, so \(y=0\). Substituting this into the equation gives \(4x=20\), hence \(x=5\). Therefore, the \(x\)-intercept is \((5,0)\). Remember that \((0,20)\) is the \(y\)-intercept because \(x=0\) there.
Frequently asked questions
What is the correct answer to this question?
(5,0)
Why is this the correct answer?
The \(x\)-intercept is the point where the line crosses the \(x\)-axis, so \(y=0\). Substituting this into the equation gives \(4x=20\), hence \(x=5\). Therefore, the \(x\)-intercept is \((5,0)\). Remember that \((0,20)\) is the \(y\)-intercept because \(x=0\) there.
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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