Questions: The graph shows a relationship between two variables, x and y. What is the slope of the relationship at point A? The slope of the relationship at point A is -16. How does the slope of the relationship change as the value of x increases? A. The slope at first decreases and then increases. B. The absolute value of the slope decreases- the curve gets less steep. C. The slope remains constant. D. The absolute value of the slope increases-the curve gets steeper.

What is the slope of the relationship at point A? Calculate the slope at point A using the red line. Point A lies on the red line. The red line goes through the points (1, 144) and (8, 32). The slope is given by \( \frac{y_2 - y_1}{x_2 - x_1} \). Substituting the coordinates of the two points: \( \frac{32 - 144}{8 - 1} = \frac{-112}{7} = -16 \).

\(\boxed{-16}\)

How does the slope of the relationship change as the value of x increases? Analyze the slope visually. The blue curve represents the relationship between x and y. As x increases, the curve becomes less steep. This means the absolute value of the slope is decreasing.

\(\boxed{B}\)

-16 B