Final answer:
To find an equation of a line parallel to the given line y = -1/3x - 5 and passing through the point (6,3), use the point-slope form of a line.
Step-by-step explanation:
To find an equation of a line parallel to the given line y = -1/3x - 5 and passing through the point (6,3), we can use the fact that parallel lines have the same slope. The slope of the given line is -1/3, so the slope of the parallel line will also be -1/3. Using the point-slope form of a line, we can write the equation as: y - 3 = -1/3(x - 6). Now, we can simplify the equation to get the final form: y = -1/3x + 7.