Question

plot the ordered pair (-2,3). state in which quadrant or on which axis the point lies. plot the ordered pair on the graph to the right.

Explanation:

Step1: Recall coordinate - plane rules

In a two - dimensional coordinate plane, for an ordered pair \((x,y)\), \(x\) is the horizontal coordinate and \(y\) is the vertical coordinate.

Step2: Analyze the signs of coordinates

For the point \((-2,3)\), \(x=-2\) (negative) and \(y = 3\) (positive).

Step3: Determine the quadrant

In the coordinate plane, if \(x<0\) and \(y>0\), the point lies in the second quadrant. To plot the point: start at the origin \((0,0)\), move 2 units to the left along the \(x\) - axis (because \(x=-2\)) and then 3 units up along the \(y\) - axis (because \(y = 3\)).

Answer:

The point \((-2,3)\) lies in the second quadrant.