Final answer:
The slope of a line parallel to the equation 5x - 2y = 14 is 5/2, because parallel lines have the same slope.
Step-by-step explanation:
The slope of a line parallel to the equation 5x - 2y = 14 can be found by first putting the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. To do this, we solve for y:
5x - 2y = 14
-2y = -5x + 14
y = (5/2)x - 7
So, the slope (m) of the original line is 5/2. Because parallel lines have the same slope, any line parallel to 5x - 2y = 14 will also have a slope of 5/2.