Question

You live at point A and your friend lives at point D. You let your friend borrow your calculator, but you need it for tomorrow! You need to meet in the middle of your two houses. Which point do you meet at?

point A is at (-3,1)

point B is at (3,4)

point C is at (1,-1)

point D is at (7,2)



(1 point)
Responses

(1.5, 1.5)
(1.5, 1.5)

(2, 1.5)
(2, 1.5)

(1, 1)
(1, 1)

(0, 0)

Answer 1

To find the midpoint between points A and D, you can use the midpoint formula. The midpoint \( M \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Applying this formula to points A (-3, 1) and D (7, 2):

1. Calculate the x-coordinate:
\[
x = \frac{-3 + 7}{2} = \frac{4}{2} = 2
\]

2. Calculate the y-coordinate:
\[
y = \frac{1 + 2}{2} = \frac{3}{2} = 1.5
\]

Thus, the midpoint \( M \) is \( (2, 1.5) \).

The correct choice is:

(2, 1.5)