Final answer:
The slope of line f, which is perpendicular to line e, is determined to be 3/7 after calculating the slope of line e and using the negative reciprocal rule for perpendicular lines.
Step-by-step explanation:
The slope of line e passing through the points (2, 11) and (5, 4) can be calculated using the slope formula, which is (y2-y1)/(x2-x1). So, the slope of line e is (4-11)/(5-2) = -7/3. Now, since line f is perpendicular to line e, its slope is the negative reciprocal of -7/3. Hence, the slope of line f is 3/7.