Question

Find the midpoint between the two points \((1,2),(5,4)\)

Short answer

The midpoint between the two points \((1,2),(5,4)\) is \((3,3)\)

Step-by-step solution

Identify the Given Points

The given points are (1,2) and (5,4). Here, (1,2) represents the point \(x_1, y_1\) respectively and (5,4) represents the point \(x_2, y_2\) respectively.

Apply the Midpoint Formula

Plugging those points into the midpoint formula \(\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)\) gives us midpoint \(\left(\frac{1+5}{2}, \frac{2+4}{2}\right)\).

Simplify the Result

Simplify the expression to find the midpoint. It simplifies to \((3,3)\).