Question

plot the point $(2,-3)$.

Explanation:

Step1: Understand the coordinate system

In a two - dimensional coordinate system, a point is represented as \((x,y)\). The \(x\) - coordinate (the first number) tells us how far to move along the horizontal axis (left - right), and the \(y\) - coordinate (the second number) tells us how far to move along the vertical axis (up - down). For the point \((2,-3)\), \(x = 2\) and \(y=-3\).

Step2: Locate the \(x\) - coordinate

Start at the origin \((0,0)\). Since \(x = 2>0\), move \(2\) units to the right along the \(x\) - axis.

Step3: Locate the \(y\) - coordinate

From the point on the \(x\) - axis (where \(x = 2\)), since \(y=-3<0\), move \(3\) units down along the vertical line passing through \(x = 2\).

Answer:

The point \((2,-3)\) is located \(2\) units to the right of the origin along the \(x\) - axis and \(3\) units down along the vertical line through \(x = 2\). Plot this point on the given coordinate grid.