To solve this problem, we can begin by analyzing the graph and then eliminating incorrect answers. By looking at the graph, we can see that it has a positive correlation (the graph is increasing from left to right), which tells us that it has a positive slope. Using this knowledge, we can eliminate answer choices C and D, which both suggest equations with a negative slope (which would mean that the line was decreasing from left to right).
Next, we must analyze the slope. Answer A suggests that the slope is 3/2, meaning that the line rises 3 units for every 2 units it goes across. Answer B suggests that the slope is 1/2, meaning that the line rises 1 unit for every 2 units that it goes across. If we look at the graph, let's say at the point (0,3), the next closest point is 3 units up and 2 units across, which lets us know that the slope is positive 3/2.
Therefore, your answer is A. y = 3/2x + 3 (which is confirmed by the point we recognized, (0,3), which is the y-intercept of the equation).
Hope this helps!
