Question

which quadrant is the point k in?

Explanation:

Step1: Recall quadrant rules

In a coordinate plane, quadrants are defined by the signs of \(x\) (horizontal) and \(y\) (vertical) coordinates:

• Quadrant I: \(x>0\), \(y>0\)
• Quadrant II: \(x<0\), \(y>0\)
• Quadrant III: \(x<0\), \(y<0\)
• Quadrant IV: \(x>0\), \(y<0\)

Step2: Determine coordinates of \(K\)

From the graph, point \(K\) has:

• \(x\)-coordinate: negative (left of origin, \(x \approx -1\) or similar negative value)
• \(y\)-coordinate: negative (below origin, \(y \approx -5\) or similar negative value)

Step3: Match to quadrant

Since \(x<0\) and \(y<0\), point \(K\) lies in Quadrant III (where both coordinates are negative).

Answer:

Quadrant III