1. The problem asks which relationship represents a function with the same slope as the function $$y = -\frac{3}{2}x - 4$$. 2. The slope of the given function is $$-\frac{3}{2}$$. 3. To find which relationship has the same slope, we calculate the slope for each set of points or interpret the graph. 4. For A: Points are (-6,12), (-4,9), (-2,6), (0,3). Calculate slope between two points, for example, between (-6,12) and (-4,9): $$m = \frac{9 - 12}{-4 - (-6)} = \frac{-3}{2} = -\frac{3}{2}$$ 5. For B: Points are (0,-1), (4,2), (8,5), (12,8). Calculate slope between (0,-1) and (4,2): $$m = \frac{2 - (-1)}{4 - 0} = \frac{3}{4}$$ This slope is $$\frac{3}{4}$$, which is not equal to $$-\frac{3}{2}$$. 6. For C and D, the graphs are described: - C is a line going downward diagonally to the right, passing through (2,2) and (4,-2). Calculate slope between (2,2) and (4,-2): $$m = \frac{-2 - 2}{4 - 2} = \frac{-4}{2} = -2$$ Not equal to $$-\frac{3}{2}$$. - D is a line going upward diagonally to the right, passing through (0,-3) and (3,0). Calculate slope: $$m = \frac{0 - (-3)}{3 - 0} = \frac{3}{3} = 1$$ Not equal to $$-\frac{3}{2}$$. 7. Therefore, only relationship A has the same slope as the given function. Final answer: A