To determine which statement is true about the y-intercepts of Functions A and B, let's examine each function.

Function A

The graph shows a line crossing the y-axis at $y = 1$. Therefore, the y-intercept of Function A is $1$.

Function B

Function B is given by the equation $y = 2x - 3$. This equation is in the slope-intercept form $y = mx + b$, where $b$ represents the y-intercept. In this case, the y-intercept $b$ is $-3$.

Comparing the Y-Intercepts

• The y-intercept of Function A is $1$.
• The y-intercept of Function B is $-3$.

Since $1 > -3$, the y-intercept of Function A is greater than the y-intercept of Function B.

Conclusion

The correct statement is: "The y-intercept of Function A is greater than the y-intercept of Function B."

Would you like further details or have any questions?

Here are some related questions that expand on this topic:

1. How do you find the slope of a line from a graph?
2. What are the steps to convert a linear equation to slope-intercept form?
3. How do the slopes of Function A and Function B compare?
4. What would happen to Function B if its y-intercept were changed to $+3$?
5. How can you determine the x-intercept from the equation of a line?

Tip: Remember, the y-intercept is the point where the line crosses the y-axis, which you can easily identify from a graph or the equation's constant term.