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?

Question

points are:
point a) (-3,1)
point b) (3,4)
point c) (1,1)
point d) (7,2)

(1 point)
Responses

(0, 0)
(0, 0)

(2, 1.5)
(2, 1.5)

(1.5, 1.5)
(1.5, 1.5)

(1, 1)

Answer 1

To find the midpoint between your location at point A (-3, 1) and your friend's location at point D (7, 2), we can use the midpoint formula, which is given by:

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

where \((x_1, y_1)\) are the coordinates of point A and \((x_2, y_2)\) are the coordinates of point D.

Plugging in the values:

\[ \text{Midpoint} = \left( \frac{-3 + 7}{2}, \frac{1 + 2}{2} \right) \] \[ = \left( \frac{4}{2}, \frac{3}{2} \right) \] \[ = (2, 1.5) \]

Thus, the point where you should meet in the middle is (2, 1.5).

Among the provided responses, the correct answer is:

(2, 1.5)