In which quadrant does the point \((-4,\,7)\) lie?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Quadrant II
The quadrant of a point is fixed by the signs of its coordinates: Quadrant I \((+,\,+)\), Quadrant II \((-,\,+)\), Quadrant III \((-,\,-)\) and Quadrant IV \((+,\,-)\).
The x-coordinate is \(-4\), negative, so the point is to the left of the y-axis
The y-coordinate is \(7\), positive, so the point is above the x-axis
Left of the y-axis and above the x-axis is Quadrant II
