In which quadrant does the point \((5,\,-8)\) lie?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Quadrant IV
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 \(5\), positive, so the point is to the right of the y-axis
The y-coordinate is \(-8\), negative, so the point is below the x-axis
Right of the y-axis and below the x-axis is Quadrant IV
