Question

plot the point (-1, -1) and identify the quadrant. click on the graph to plot a point. click a point to delete it.

Explanation:

Step1: Determine the sign of coordinates

In a coordinate system, the \(x\) - coordinate and \(y\) - coordinate of a point \((x,y)\) determine the quadrant. For the point \((- 1,-1)\), the \(x\) - coordinate \(x=-1<0\) and the \(y\) - coordinate \(y = - 1<0\).

Step2: Recall the quadrant definitions

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

Since \(x=-1<0\) and \(y=-1<0\), the point \((-1,-1)\) lies in Quadrant III.

Answer:

Quadrant III