Final answer:
To determine if two lines are parallel, we need to compare their slopes. The given line y = 5/2x - 4 is parallel to the line 5x - 2y = 18 because they have the same slope of 5/2.
Step-by-step explanation:
The line y = 5/2x - 4 is parallel to the line 5x - 2y = 18.
To determine if two lines are parallel, we need to compare their slopes.
The given line is in the form y = mx + b, where m is the slope. So, for the first line, the slope is 5/2.
For the second line, we need to rearrange it into the form y = mx + b. Dividing both sides by -2, we get: y = -5/2x + 9.
Comparing the slopes, we can see that both lines have a slope of 5/2. Therefore, they are parallel.