Answer:
To determine which of the given lines is parallel to the line y = 2/3x + 5, we need to compare their slopes. The slope of a line is the coefficient of the x variable, in this case 2/3.
The lines that are parallel have the same slope.
A.y=2/3x-4 is parallel to the line y = 2/3x +5 because the slope of 2/3 is the same.
B.y=2/3x-7 is parallel to the line y = 2/3x +5 because the slope of 2/3 is the same.
C.y=-2/3x+5 is not parallel to the line y = 2/3x +5 because the slope of -2/3 is different from the slope 2/3.
D.y=-2/3x+5 is not parallel to the line y = 2/3x +5 because the slope of -2/3 is different from the slope 2/3.
So the answer is A and B are parallel to the line y = 2/3x +5