Question

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

Short answer

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

Step-by-step solution

Identify the Coordinates

The first point has coordinates \( (x_1,y_1) = (5,1) \) and the second point has coordinates \( (x_2,y_2) = (1,-5) \).

Apply Midpoint Formula

The formula for the midpoint is \( ( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} ) \) . Plugging in the values from step 1: \( ( \frac{5+1}{2} , \frac{1+(-5)}{2} ) \).

Simplify

Simplifying gives the midpoint as \( (3,-2) \).