Final answer:
To find the equation of a line parallel to y = (2/3)x - 9 and passing through the point (12,15), we need to use the point-slope form of a linear equation and the fact that parallel lines have the same slope. Plugging in the values, we get the equation y = (2/3)x - 8.
Step-by-step explanation:
To find the equation of a line parallel to another line, we need to use the fact that parallel lines have the same slope. The given line has a slope of 2/3, so the parallel line will also have a slope of 2/3. We can use the point-slope form of a linear equation to find the equation of the parallel line. Plugging in the values (12,15) for (x,y) and (2/3) for the slope, we get the equation y - 15 = (2/3)(x - 12). Simplifying, we get the equation y = (2/3)x - 8.