Question

On a coordinate grid, Pedro's house, P, is located at (-6, -6). He is walking to his friend Quinton's house, Q, located at (13, 8). Pedro stops at a convenience store, which is halfway to his friend's house. What are the coordinates of the convenience store?

Answer 1

To find the convenience store's coordinates halfway between Pedro's house at (-6, -6) and Quinton's house at (13, 8), the midpoint formula is used, resulting in the convenience store being located at (3.5, 1).

Step-by-step explanation:

To find the coordinates of the convenience store that Pedro stops at, which is halfway to his friend Quinton's house, you need to calculate the midpoint between Pedro's house and Quinton's house. The coordinates of Pedro's house, P, are (-6, -6), and the coordinates of Quinton's house, Q, are (13, 8).

The midpoint formula, which finds the coordinates of the point that is exactly in the middle of two other points, is given by ((x1 + x2) / 2, (y1 + y2) / 2). Applying this to the coordinates of P and Q gives us the following:

• x-coordinate of the convenience store: (-6 + 13) / 2 = 7 / 2 = 3.5
• y-coordinate of the convenience store: (-6 + 8) / 2 = 2 / 2 = 1

Therefore, the coordinates of the convenience store where Pedro stops are (3.5, 1).