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Which of the following ordered pairs are y-intercepts? Check all that apply.

A. [tex]$(4, 9)$[/tex]
B. [tex]$(-1, 1)$[/tex]
C. [tex]$(0, 0)$[/tex]
D. [tex]$(0, -7)$[/tex]
E. [tex]$(-2, -2)$[/tex]
F. [tex]$(0, -0.25)$[/tex]

Sagot :

GinnyAnswer
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]
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