Which point on the line \(6x+y=18\) is obtained when \(y=0\)?
Answer and explanation
Correct answer: Point \((3,0)\)
Substituting \(y=0\) gives \(6x+0=18\), so \(x=3\). Therefore, the point is \((3,0)\), which represents the x-intercept of the line on the x-axis. In option B, the coordinates are interchanged, while 18 cannot be directly taken as a coordinate. Exam tip: Set \(y=0\) to find the x-intercept.
Frequently asked questions
What is the correct answer to this question?
Point \((3,0)\)
Why is this the correct answer?
Substituting \(y=0\) gives \(6x+0=18\), so \(x=3\). Therefore, the point is \((3,0)\), which represents the x-intercept of the line on the x-axis. In option B, the coordinates are interchanged, while 18 cannot be directly taken as a coordinate. Exam tip: Set \(y=0\) to find the x-intercept.
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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