Final answer:
To find the slope of line d, which is perpendicular to line c with a slope of 5/3, take the negative reciprocal of 5/3 to get -3/5.
Step-by-step explanation:
The question concerns the relationship between the slopes of two lines, where one line is perpendicular to the other. If line c has a slope of 5/3, we can determine the slope of line d by using the concept that the slopes of perpendicular lines are negatively reciprocal to each other. This means the slope of line d will be the negative reciprocal of 5/3.
To find the negative reciprocal, you flip the fraction and change the sign. For a fraction like 5/3, flipping it gives us 3/5. Because we need the negative reciprocal, we then change the sign, resulting in the slope of line d being -3/5.