Question

You live at point A and your friend lives at point D. You need to meet in the middle of your two houses. Which point do you meet at? Point A is at -3, 1 and point D is at 7, 2.

Answer 1

To find the midpoint between point A (-3, 1) and point D (7, 2), you can use the midpoint formula. The midpoint \( M \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

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

Substituting the coordinates of points A and D into the formula:

- \( x_1 = -3 \)
- \( y_1 = 1 \)
- \( x_2 = 7 \)
- \( y_2 = 2 \)

Now plug in the values:

\[
M = \left( \frac{-3 + 7}{2}, \frac{1 + 2}{2} \right)
\]

Calculating each coordinate:

\[
M = \left( \frac{4}{2}, \frac{3}{2} \right) = (2, 1.5)
\]

So, you should meet at the point \( (2, 1.5) \).