Final answer:
The slope of a line parallel to the given equation (6x + 9y = 216) is -2/3, as parallel lines share the same slope.
Step-by-step explanation:
The subject of your question is
finding the slope
of a line parallel to another line. The equation of your original line, 6x + 9y = 216, can be rearranged to find the slope (m); that's the 'rise over run' or the change in y divided by the change in x. In the equation of a line (y = mx + b), m represents the slope. So, rearranging your equation results in the following: y = -6/9x + 216/9, or more simply, y = -2/3x + 24. If a line is
parallel
, it has the same slope. Therefore, the slope of the line that is parallel to your original line is
-2/3
.
Learn more about Slope of Parallel Lines