Answer:
Explanation:
Parallel lines share the same slope.
In the given 4x - 2y = 4, the first 4 (the coefficient of x) and the -2 (the coefficient of y) determine the slope; all lines parallel to 4x - 2y = 4 have equations which are identical to 4x - 2y = 4 EXCEPT that their constants (in this case 4) differ.
4x - 2y = 0
4x - 2y = -3
4x - 2y = 7
constitute a set of parallel lines.
If we reduce 4x - 2y = 4 to 2x - y = 2, the second equation has the same slope AND same y-intercept as does the first.