Midpoint Coordinates F7C0E7
1. The problem asks for the coordinate location of Cindy's house, which is halfway between Gabe's house and the library on the first graph.
2. To find the midpoint between two points $(x_1, y_1)$ and $(x_2, y_2)$, use the midpoint formula:
$$\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$
3. Gabe's house is at $(4, 2)$ and the library is at $(1, 2)$.
4. Calculate the midpoint:
$$x = \frac{4 + 1}{2} = \frac{5}{2} = 2.5$$
$$y = \frac{2 + 2}{2} = \frac{4}{2} = 2$$
5. Therefore, Cindy's house is at the coordinate $(2.5, 2)$.
6. For the second graph, points A and B are given as $A(4, 2)$ and $B(2, 4)$.
7. Since the question says "Fill in the blanks" but no specific blanks are provided, we can find the midpoint between A and B as an example:
$$x = \frac{4 + 2}{2} = 3$$
$$y = \frac{2 + 4}{2} = 3$$
8. The midpoint between A and B is $(3, 3)$.
Final answers:
- Cindy's house coordinate: $(2.5, 2)$
- Midpoint between A and B: $(3, 3)$