At which point do the lines \(x=-2\) and \(3x+y=1\) intersect?
Answer and explanation
Correct answer: \((-2,7)\)
The intersection point must satisfy both equations. Substituting \(x=-2\) into \(3x+y=1\) gives \(3(-2)+y=1\), or \(-6+y=1\), so \(y=7\). Therefore, the intersection point is \((-2,7)\). Option C has the wrong sign for the \(y\)-coordinate. Exam tip: Every point on the vertical line \(x=-2\) has \(x\)-coordinate \(-2\).
Frequently asked questions
What is the correct answer to this question?
\((-2,7)\)
Why is this the correct answer?
The intersection point must satisfy both equations. Substituting \(x=-2\) into \(3x+y=1\) gives \(3(-2)+y=1\), or \(-6+y=1\), so \(y=7\). Therefore, the intersection point is \((-2,7)\). Option C has the wrong sign for the \(y\)-coordinate. Exam tip: Every point on the vertical line \(x=-2\) has \(x\)-coordinate \(-2\).
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..
