Question

Write the ordered pair for each point.

$C$

Short answer

The ordered pair for point $\mathit{C}$is $\left(2,-4\right)$.

Step-by-step solution

Step 1. Observe the figure.

From the figure, it can be observed that it is the$x\text{-}y$ plane with several coordinates$A,B,C,D,E,$ and$F$ marked on it.

Step 2. Define the coordinate of a point.

Coordinate or an ordered pair $\left(x,y\right)$ of a point is a pair of numbers; that is, a number on the $x$-axis called an $x$-coordinate, and a number on the $y$-axis called a $y$-coordinate.

Step 3. Name the coordinates of the point C. 

Steps to find the coordinate of point $C$are:

• Point $C$is 2 units away from the origin on the positive $x$axis. Thus, the $x$-coordinate is 2.
• Then the point $C$is 4 units away from the origin in the negative $y$axis. Thus, the $y$-coordinate is 4.

From the given graph,

Therefore, the coordinates of point $C$is $\left(2,-4\right)$.