To find which of the ordered pairs is represented by a point located on the [tex]\( y \)[/tex]-axis, we need to understand that any point on the [tex]\( y \)[/tex]-axis has an [tex]\( x \)[/tex]-coordinate of 0. Therefore, we are looking for a pair where the first number (the [tex]\( x \)[/tex]-coordinate) is 0.
Let’s analyze each given option:
a. [tex]\((0,3)\)[/tex]
In this pair, the [tex]\( x \)[/tex]-coordinate is 0. This means the point is on the [tex]\( y \)[/tex]-axis.
b. [tex]\((4,-4)\)[/tex]
Here, the [tex]\( x \)[/tex]-coordinate is 4. This is not on the [tex]\( y \)[/tex]-axis.
c. [tex]\((1,1)\)[/tex]
In this case, the [tex]\( x \)[/tex]-coordinate is 1. This is also not on the [tex]\( y \)[/tex]-axis.
d. [tex]\((-2,0)\)[/tex]
Here, the [tex]\( x \)[/tex]-coordinate is -2. This is not on the [tex]\( y \)[/tex]-axis.
After analyzing the options, we can see that the point [tex]\((0,3)\)[/tex] is the only one located on the [tex]\( y \)[/tex]-axis.
Thus, the correct answer is:
a. [tex]\((0,3)\)[/tex]
