Question

The coordinate of the midpoint of segment AB is (-4, 3). Find the coordinate of A if the coordinate of B is (0, 3). A = (-8, 3) (-2, 3) (4, 3)

Answer 1

The Y values are the same, so the Y value for A would also be 3.

B is at x 0 and the midpoint is -4 so there are 4 units between the mid point and B. You need to subtract 4 units from the midpoint for A.

-4 - 4 = -8

Point A is located at (-8,3)

Answer 2

(-8, 3)

Explanation:

The formula for getting the midpoint of a line is;

midpoint = (x₁ + x₂)/2 , (y₁ + y₂)/2

(x₁,y₁) is the coordinate of A and

(x₂, y₂) is coordinate of B.

(x₁ + 0)/2 = -4

x₁ = -4 × 2

= -8

(y₁ + y₂)/2 = 3

y₁ + 3 = 6

y₁ = 6 - 3

= 3

The coordinate of the A is (-8, 3)