Question

plot the point (4, -4) in a rectangular coordinate system. plot (4, -4).

Explanation:

Step1: Understand the coordinate system

In a rectangular coordinate system, a point is represented as \((x,y)\). Here \(x = 4\) (the \(x\) - coordinate) and \(y=-4\) (the \(y\) - coordinate).

Step2: Locate the \(x\) - coordinate

Start at the origin \((0,0)\). Move \(4\) units to the right along the \(x\) - axis (since \(x = 4>0\)).

Step3: Locate the \(y\) - coordinate

From the point on the \(x\) - axis (where \(x = 4\)), move \(4\) units down along the \(y\) - axis (since \(y=-4<0\)).

Answer:

The point \((4, - 4)\) is plotted \(4\) units to the right of the \(y\) - axis and \(4\) units below the \(x\) - axis.