Final answer:
To find the point that partitions segment PQ 3/5 of the way, you can use the concept of a ratio and the formula for coordinates.
Step-by-step explanation:
To find the point that partitions segment PQ 3/5 of the way, you can use the concept of a ratio. Let's assume that the point divides the segment PQ into two parts, with one part being 3/5 of the total segment length. We can represent this ratio as (3/5):(2/5). To determine the coordinates of the point, we can use the formula:
x = (3/5)(x2) + (2/5)(x1)
y = (3/5)(y2) + (2/5)(y1)
Where (x1, y1) and (x2, y2) are the coordinates of points P and Q respectively.