Which equation represents a line which is parallel to the line 7y - 4x = -14?

Any line with a slope of 4/7 and a y-intercept that is NOT -2

You should first turn the equation into y intercept form:
7y - 4x = -14; Add 4x from both sides
7y = 4x - 14; divide 7 from both sides
y = 4/7x - 2

Since you did not include choices, the answer will be the line with the slope 4/7 and without the y-intercept -2, because lines that are parallel will always have the same slope.

Example Answers: y = 4/7x + 2, y= 4/7x - 4
y = 4/7x + 10