Question

Find the midpoint between the two points \((2,7),(4,3)\)

Short answer

The midpoint between the points \((2,7)\) and \((4,3)\) is \((3,5)\).

Step-by-step solution

Identify the coordinates

First, identify the coordinates of the two given points. They are \((x_1, y_1) = (2,7)\) and \((x_2, y_2) = (4,3)\).

Apply the midpoint formula

The formula for finding the midpoint between two points is \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\). Substitute the values of \(x_1\), \(x_2\), \(y_1\), and \(y_2\) into the formula. This will give: \((\frac{2+4}{2}, \frac{7+3}{2})\).

Calculate the midpoint

Now, calculate the midpoint. This will give: \((\frac{6}{2}, \frac{10}{2})\) or equivalently \((3,5)\).