Final answer:
To locate point Q on line segment RS that is 5/8 of the distance from R to S, one would use the section formula applied to the coordinates of R and S.
Step-by-step explanation:
The question asked pertains to locating a point Q on a line segment RS that is 5/8 of the distance from R to S on a coordinate grid. To find this point, one would need to apply the concept of fractional distance along a line segment.
If R and S are endpoints of the segment with coordinates R(x1, y1) and S(x2, y2), the coordinates of point Q can be found using the section formula. Assuming a direct line between R and S, the coordinates of Q(x, y) can be calculated as:
x = x1 + (5/8)×(x2 - x1)
y = y1 + (5/8)×(y2 - y1)
This will give the exact location of point Q on the line RS such that it is 5/8 of the distance from R to S.