Final answer:
The line perpendicular to y = 3x - 8 has a slope of -1/3. Using the point-slope formula, the equation of the line that passes through (6, 1) is y - 1 = -1/3(x - 6).
Step-by-step explanation:
The student asked for help in determining the correct values to input in the point-slope formula for a line that is perpendicular to the equation y = 3x - 8 and intersects the point (6, 1). The slope (m) of a line perpendicular to another line is the negative reciprocal of the original line's slope. Since the original line's slope is 3, the slope of the perpendicular line will be -1/3. Now, using the point-slope formula, we have y - 1 = -1/3(x - 6). Therefore, the correct values to fill in the blanks are -1/3 and 6, respectively.