If JI has midpoint H at (1,0). Then the coordinate of the point I will be (7, 4).
What is the mid-point of the line segment?
Let AB be the line segment and C be the mid-point of line segment AB.
Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
JI has endpoints J at (-5,-4) and I. JI has midpoint H at (1,0).
Let the coordinate of the point I be (h, k).
(1, 0) = [(-5 + h) / 2, (-4 + k) / 2]
Then the value of h will be
1 = (-5 + h) / 2
2 = - 5 + h
h = 7
Then the value of k will be
0 = (- 4 + k) / 2
0 = - 4 + k
k = 4
Then the coordinate of the point I will be (7, 4).
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