Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).
A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
xm = (x₁ + x₂)/2
3 = (-4 + x₂)/2
Cross-multiplying, we have:
6 = -4 + x₂
x₂ = 6 + 4
x₂ of S = 10.
Midpoint on y-coordinate is given by:
ym = (y₁ + y₂)/2
3 = (-6 + y₂)/2
Cross-multiplying, we have:
6 = -6 + y₂
y₂ = 6 + 6
y₂ of S = 12.
Therefore, point S is equal to (10, 12).
Read more on midpoint here: brainly.com/question/4078053
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