Final answer:
The equation that represents a line perpendicular to line g is Y= 7/4x (option D).
Step-by-step explanation:
A line that is perpendicular to line g will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a slope is found by flipping the fraction and changing the sign. The negative reciprocal of -4/7 is 7/4. Therefore, the equation that represents a line perpendicular to line g is Y= 7/4x (option D).