To determine which of the given ordered pairs are y-intercepts, we need to understand the definition of a y-intercept. A y-intercept is a point where a graph crosses the y-axis, which means it has an x-coordinate of 0.
Let's evaluate each of the given ordered pairs to see if they meet this criterion:
1. [tex]\((4, 9)\)[/tex]
- The x-coordinate is 4, not 0. Therefore, this is not a y-intercept.
2. [tex]\((-1, 1)\)[/tex]
- The x-coordinate is -1, not 0. Therefore, this is not a y-intercept.
3. [tex]\((0, 0)\)[/tex]
- The x-coordinate is 0. Therefore, this is a y-intercept.
4. [tex]\((0, -7)\)[/tex]
- The x-coordinate is 0. Therefore, this is a y-intercept.
5. [tex]\((-2, -2)\)[/tex]
- The x-coordinate is -2, not 0. Therefore, this is not a y-intercept.
6. [tex]\((0, -0.25)\)[/tex]
- The x-coordinate is 0. Therefore, this is a y-intercept.
As a result, the ordered pairs that are y-intercepts are:
[tex]\[(0, 0), (0, -7), (0, -0.25)\][/tex]
