The problem asks which ordered pair best represents the location of the y-intercept of the given linear function on the graph.

What is a y-intercept?

The y-intercept is the point where the line crosses the y-axis. This means that the x-coordinate will be 0 at this point because the line meets the y-axis when $x = 0$.

Step-by-step Solution:

1. Look at the graph: We need to find the point where the line crosses the y-axis.
2. Identify the point on the y-axis: The line crosses the y-axis at the point where $y = 2$.
3. Check the coordinates: The corresponding ordered pair would be $(0, 2)$, since the x-coordinate is 0 and the y-coordinate is 2.

Conclusion:

The ordered pair that best represents the location of the y-intercept is $(0, 2)$, which corresponds to option B.

Would you like further details on how to identify intercepts or any other part of the solution?

Here are some related questions to further explore:

1. What is the x-intercept of this linear function?
2. How can you find the slope of the line from the graph?
3. Can a line have more than one y-intercept?
4. How does changing the slope affect the y-intercept of a linear function?
5. How can you write the equation of the line using the y-intercept and slope?

Tip: For linear equations in the form $y = mx + b$, the value of $b$ is the y-intercept.