If the points \((-2,9)\) and \((3,-1)\) are given in the value table of a line, which is the correct equation of that line?
Answer and explanation
Correct answer: \(2x+y=5\)
Substituting the first point in \(2x+y=5\) gives \(2(-2)+9=5\), and substituting the second point gives \(2(3)+(-1)=5\). Thus, both points lie on this line. Options B and D satisfy only one of the points, while option C does not correctly satisfy either given point. Exam tip: To verify the equation of a line, substitute both given ordered pairs into it.
Frequently asked questions
What is the correct answer to this question?
\(2x+y=5\)
Why is this the correct answer?
Substituting the first point in \(2x+y=5\) gives \(2(-2)+9=5\), and substituting the second point gives \(2(3)+(-1)=5\). Thus, both points lie on this line. Options B and D satisfy only one of the points, while option C does not correctly satisfy either given point. Exam tip: To verify the equation of a line, substitute both given ordered pairs into 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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