Question

2.2
score: 0/11 answered: 0/11
question 1
0/1 pt 3 99 details
determine which quadrant contains the following point: (1, -\sqrt{3})

Explanation:

Step1: Recall quadrant rules

In the Cartesian - coordinate system, in the first quadrant, both \(x\) and \(y\) are positive (\(x>0,y > 0\)); in the second quadrant, \(x<0,y>0\); in the third quadrant, \(x < 0,y<0\); in the fourth quadrant, \(x>0,y<0\).

Step2: Analyze the given point

For the point \((1,-\sqrt{3})\), the \(x\) - coordinate is \(x = 1>0\) and the \(y\) - coordinate is \(y=-\sqrt{3}<0\).

Answer:

The point \((1,-\sqrt{3})\) is in the fourth quadrant.