Final answer:
To match the equation y = 4/3x - 9, we need to rewrite the equations in slope-intercept form.
Step-by-step explanation:
The equation y = 4/3x - 9 represents a line in slope-intercept form, where the slope is 4/3 and the y-intercept is -9. To determine which equations can be rewritten in this form, we need to rearrange them to match the pattern y = mx + b.
A: 3y = 4x - 27 can be rewritten as y = 4/3x - 9.
B: 4y = 3x - 27 cannot be rewritten in the form y = 4/3x - 9.
C: y - x = 9 cannot be rewritten in the form y = 4/3x - 9.
D: y - 4/3x = -9 can be rewritten as y = 4/3x - 9.