Question

find the graph of the point (3, -2).

Explanation:

Step1: Recall coordinate - plane rules

In a two - dimensional coordinate plane, the first number in an ordered pair $(x,y)$ is the $x$ - coordinate and the second is the $y$ - coordinate. For the point $(3,-2)$, $x = 3$ and $y=-2$.

Step2: Locate the $x$ - coordinate

Start at the origin $(0,0)$. Move 3 units to the right along the $x$ - axis since $x = 3$ (positive $x$ values are to the right of the origin).

Step3: Locate the $y$ - coordinate

From the position on the $x$ - axis (at $x = 3$), move 2 units down along the $y$ - axis since $y=-2$ (negative $y$ values are below the $x$ - axis).

Answer:

The point $(3,-2)$ is located 3 units to the right of the origin and 2 units below the $x$ - axis. The correct graph is the one where the blue point is at the intersection of the vertical line through $x = 3$ and the horizontal line through $y=-2$ (the right - hand graph in the provided images).