The coordinate of point A will be (4, 5).
<h3>What is the mid-point of the line segment?</h3>
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]
If M(6, -1) is the midpoint of AB, and B has the coordinates (8, -7).
Then the coordinate of point A will be
(6, -1) = [(x₁ + 8) / 2, (y₁ - 7) / 2]
(12, -2) = [(x₁ + 8), (y₁ - 7)]
(12 - 8, -2 + 7) = (x₁, y₁)
(x₁, y₁) = (4, 5)
The coordinate of point A will be (4, 5).
More about the mid-point of the line segment link is given below.
brainly.com/question/17188072
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