Final answer:
To find a line parallel to y=8x-7, any equation of the form y=8x+b, where 'b' is any real number, would suffice, as parallel lines must have the same slope but different y-intercepts.
Step-by-step explanation:
The equation which represents a line that is parallel to the line y=8x-7 shares the same slope. Parallel lines have identical slopes but different y-intercepts. In the context of the information provided, the equations Y2 and Y3 mentioned as y = -173.5 + 4.83x − 2(16.4) and y = -173.5 + 4.83x + 2(16.4) have the same slope as the line of best fit, which indicates they are parallel to each other.
For our specific question, we can disregard the y-intercept and focus solely on the slope when finding a parallel line. Therefore, any linear equation of the form y=8x+b, where 'b' is any real number, will represent a line parallel to the line y=8x-7. An example of such an equation could be y=8x+5, where the slope is 8 (same as the given line), and the y-intercept is different (5 in this case).