How do you determine the midpoint between (3, 3) and (7, 7)?

To determine the midpoint between (3, 3) and (7, 7), use the midpoint formula: \((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\).

The midpoint formula is a straightforward way to find the exact centre point between two coordinates on a graph. In this case, the coordinates given are (3, 3) and (7, 7). To find the midpoint, you simply take the average of the x-coordinates and the average of the y-coordinates.

First, add the x-coordinates together: \(3 + 7 = 10\). Then, divide this sum by 2 to find the average: \(\frac{10}{2} = 5\). This gives you the x-coordinate of the midpoint.

Next, do the same for the y-coordinates. Add them together: \(3 + 7 = 10\). Again, divide this sum by 2 to find the average: \(\frac{10}{2} = 5\). This gives you the y-coordinate of the midpoint.

So, the midpoint between the points (3, 3) and (7, 7) is (5, 5). This method works for any pair of points and is particularly useful in geometry and coordinate graphing. By averaging the x and y values, you effectively find the point that is equidistant from both original points.