Which point lies on the graph of the linear equation \(y=4x-2\) when \(x=3\)?
Answer and explanation
Correct answer: (3, 10)
Substituting \(x=3\) into the equation gives \(y=4(3)-2=12-2=10\). Therefore, the corresponding ordered pair is \((x,y)=(3,10)\). Options B and D interchange the \(x\)- and \(y\)-coordinates, while option A results from an arithmetic error. Exam tip: in an ordered pair, the first coordinate is \(x\) and the second is \(y\).
Frequently asked questions
What is the correct answer to this question?
(3, 10)
Why is this the correct answer?
Substituting \(x=3\) into the equation gives \(y=4(3)-2=12-2=10\). Therefore, the corresponding ordered pair is \((x,y)=(3,10)\). Options B and D interchange the \(x\)- and \(y\)-coordinates, while option A results from an arithmetic error. Exam tip: in an ordered pair, the first coordinate is \(x\) and the second is \(y\).
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..
