Question

find the midpoint between: (8, -2) and (-6, 1)

Explanation:

Step1: Recall the midpoint formula

The midpoint formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).

Step2: Substitute the values of \(x\) - coordinates

Here \(x_1 = 8,x_2=-6\). Then \(\frac{x_1 + x_2}{2}=\frac{8+( - 6)}{2}=\frac{8 - 6}{2}=\frac{2}{2}=1\).

Step3: Substitute the values of \(y\) - coordinates

Here \(y_1=-2,y_2 = 1\). Then \(\frac{y_1 + y_2}{2}=\frac{-2 + 1}{2}=\frac{-1}{2}=-\frac{1}{2}\).

Answer:

$(1,-\frac{1}{2})$