If the points \((2,4)\) and \((5,1)\) are given in the value table of a line, which equation represents the line correctly?
Answer and explanation
Correct answer: \(x+y=6\)
Both given points must satisfy the equation of the line. For \((2,4)\), \(x+y=2+4=6\), and for \((5,1)\), \(x+y=5+1=6\). Therefore, the correct equation is \(x+y=6\). Option B satisfies only the first point, not the second. Exam tip: Substitute every given point into an equation before selecting it.
Frequently asked questions
What is the correct answer to this question?
\(x+y=6\)
Why is this the correct answer?
Both given points must satisfy the equation of the line. For \((2,4)\), \(x+y=2+4=6\), and for \((5,1)\), \(x+y=5+1=6\). Therefore, the correct equation is \(x+y=6\). Option B satisfies only the first point, not the second. Exam tip: Substitute every given point into an equation before selecting it.
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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