Final answer:
The slope of a line parallel to y = 9 - (2/3)x is -2/3. The slope of a line perpendicular to y = 9 - (2/3)x is 3/2.
Step-by-step explanation:
The slope of a line is determined by the coefficient of x in its equation. In the given equation, y = 9 - (2/3)x, the coefficient of x is -2/3. The slope of any line parallel to this line will have the same coefficient of x, so the slope of a line parallel to y = 9 - (2/3)x is also -2/3.
The slope of a line perpendicular to a given line is the negative reciprocal of its slope. The slope of the given line is -2/3, so the slope of a line perpendicular to it will be the negative reciprocal of -2/3, which is 3/2.