Question

Point A is located at (−2, 2), and D is located at (4, −2). Find the coordinates of the point that lies halfway between A and D. (5 points)

Answer 1

halfway=(x+x/2,y+y/2)
x=-2+4/2=1
y=2+-2/2=0
(1,0)

Answer 2

Using the midpoint formula, the coordinates of the point that is located halfway between A and D are: (1, 0).

The Midpoint Formula

• The midpoint formula can be used to determine the coordinates of a point that lies halfway between two points.
• Midpoint formula is, (x, y) = $(\frac{x_2 + x_1}{2}, \frac{(y_2 + y_1}{2})$

Let:

A(−2, 2) = (x1, y1)

D(4, −2) = (x2, y2)

• Plug in the values

(x, y) = $(\frac{4 +(-2)}{2}, \frac{(-2 + 2}{2})$

(x, y) = (1, 0)

Therefore, using the midpoint formula, the coordinates of the point that is located halfway between A and D are: (1, 0).

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