Let's solve the problem step by step.

We are tasked with determining the true statement about the y-intercepts of Function A and Function B.

Function A (from the graph):

To find the y-intercept of Function A, we look at the graph where the line crosses the y-axis.

• From the graph, we see that the line crosses the y-axis at y = -4. So, the y-intercept of Function A is -4.

Function B (from the table):

For Function B, we can calculate the equation of the line using the points given in the table and then find the y-intercept. We can use the slope-intercept form of a line, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

First, we calculate the slope $m$: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - (-11)}{-3 - (-6)} = \frac{-5 + 11}{-3 + 6} = \frac{6}{3} = 2$ So, the slope $m = 2$.

Now, use the slope-intercept form $y = mx + b$ to find the y-intercept $b$. We can plug in one of the points from the table, say (-6, -11): $-11 = 2(-6) + b$ $-11 = -12 + b$ $b = -11 + 12 = 1$ Thus, the y-intercept of Function B is 1.

Comparing y-intercepts:

• The y-intercept of Function A is -4.
• The y-intercept of Function B is 1.

Therefore, the y-intercept of Function A is less than the y-intercept of Function B.

The correct statement is:

• "The y-intercept of Function A is less than the y-intercept of Function B."

Would you like more details or explanations?

Here are 5 related questions to expand on this topic:

1. How do you find the slope of a line using two points?
2. What is the significance of the y-intercept in a linear function?
3. How can we use the slope and y-intercept to graph a linear equation?
4. How do you determine if two lines are parallel or perpendicular?
5. How do you interpret the slope in real-world scenarios?

Tip: Remember, the y-intercept is the point where the line crosses the y-axis, and it occurs when $x = 0$.