What formula is used to find the midpoint between two points (x₁, y₁) and (x₂, y₂)?

To find the midpoint between two points, you need to average the coordinates of the points. The formula for the midpoint takes the x-coordinates of both points and adds them together, then divides by 2 to find their average. The same process is followed for the y-coordinates.

Using the formula ( (x₁ + x₂)/2, (y₁ + y₂)/2 ) effectively gives you the exact midpoint in both the horizontal (x) and vertical (y) directions. This method works because it calculates the halfway point between the two given coordinates, ensuring that the midpoint is equidistant from both points along both axes.

Other options do not provide the correct method for calculating the midpoint. For example, simply adding the coordinates without dividing by 2 will yield a point that is not the midpoint. Similarly, subtracting the coordinates does not relate to finding a midpoint, as it does not take the average position into account.