Final answer:
The lines 3y + 5x = 18 and y = -(5/3)x + 6 represent the same line.
Step-by-step explanation:
In order to determine if two equations represent the same line, we need to compare their slopes and y-intercepts. The first equation, 3y + 5x = 18, can be rearranged as y = -(5/3)x + 6. Comparing the slopes, we can see that both equations have a slope of -(5/3), which indicates that they have the same steepness. Additionally, both equations have a y-intercept of 6.
Based on these comparisons, we can conclude that the lines 3y + 5x = 18 and y = -(5/3)x + 6 are indeed the same line.