Question

Find the midpoint between the two points \((3,0),(-5,4)\)

Short answer

The midpoint between the points (3,0) and (-5,4) is (-1,2).

Step-by-step solution

Identify the Given Points

First, identify the two given points. We have Point \(A(3,0)\) and Point \(B(-5,4)\).

Apply the Midpoint Formula

Next, we input our given point coordinates into the midpoint formula. The midpoint \(M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\) becomes \(M = \left(\frac{3 + -5}{2}, \frac{0 + 4}{2}\right)\).

Simplify the Result

The next step is to simplify the result, which yields \(M = \left(\frac{-2}{2}, \frac{4}{2}\right)\), therefore \(M = (-1,2)\).