Question

name the quadrant or axis where each point lies.

Explanation:

Step1: Recall the quadrant rules

Quadrant I: \(x>0,y>0\); Quadrant II: \(x < 0,y>0\); Quadrant III: \(x < 0,y < 0\); Quadrant IV: \(x>0,y < 0\); \(x -\)axis: \(y = 0\); \(y -\)axis: \(x = 0\).

Step2: Analyze Point G

For point G, \(x>0,y>0\) (assuming positive \(x\) and positive \(y\) based on its position in the first - like region of the coordinate system). So it is in Quadrant I.

Step3: Analyze Point K

For point K, \(x<0,y>0\). So it is in Quadrant II.

Step4: Analyze Point N

For point N, \(x = 0,y<0\). So it is on the \(y -\)axis.

Step5: Analyze Point T

For point T, \(x<0,y<0\). So it is in Quadrant III.

Answer:

Point G: Quadrant I; Point K: Quadrant II; Point N: \(y -\)axis; Point T: Quadrant III.