Answer:
Any line where y=-5/2*x+z and z does not equal 4.
Explanation:
Per the definition of a parallel line, any line with the same slope that doesn't intersect is parallel to the first. To solve for the slope, first solve for y: 5x+2y=8 2y=-5x+8 y=-5/2*x+4.
Therefore, anything with the slope -5/2 that doesn't have the y-intercept of 4 is parallel (as it would be the same line if it did). You can try any equation where y=-5/2*x+z and z does not equal 4 and it would be parallel.