Question

plot the ordered pair $(-4,-1)$. state in which quadrant or on which axis the point lies. plot the ordered pair on the graph to the right.

Explanation:

Step1: Understand the coordinate system

In a coordinate system, the \(x\) - coordinate and \(y\) - coordinate of a point \((x,y)\) determine its position. For the point \((-4,-1)\), the \(x\) - coordinate is \(-4\) (move \(4\) units to the left of the origin along the \(x\) - axis) and the \(y\) - coordinate is \(-1\) (move \(1\) unit down from the \(x\) - axis).

Step2: Determine the quadrant

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 \(x=-4<0\) and \(y = - 1<0\), the point \((-4,-1)\) lies in Quadrant III.

Answer:

The point \((-4,-1)\) lies in Quadrant III.