Question

Find the coordinates of A if M(6, -1) is the midpoint of AB, and B has the coordinates (8, -7

Answer 1

The coordinate of point A will be (4, 5).

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]

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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Answer 2

Answer:

(4, -13)

Step-by-step explanation:

Let A have coordinates (x,y).

$\frac{x+8}{2}=6 \implies x=4 \\ \\ \frac{y-1}{2}=-7 \implies y=-13 \\ \\ \therefore A=(4, -13)$