Answer:
To find the coordinates of the midpoint of line segment EF, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by:
M(x, y) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using the given endpoints:
E(-6, 3)
F(14, 17)
Substituting the coordinates into the midpoint formula:
x = (-6 + 14) / 2 = 8 / 2 = 4
y = (3 + 17) / 2 = 20 / 2 = 10
Therefore, the coordinates of the midpoint of line segment EF are M(4, 10).
Explanation: