Which of the following points lies on the line \(3x+2y=7\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \((3,\,-1)\)
A point lies on a line only when its coordinates satisfy the equation of the line. Putting each point into \(3x+2y\):
\((3,\,-1)\): \(3(3)+2(-1)=7\), so this point lies on the line
\((1,\,3)\): \(3(1)+2(3)=9\), not 7
\((2,\,1)\): \(3(2)+2(1)=8\), not 7
\((-1,\,4)\): \(3(-1)+2(4)=5\), not 7