Question

step 3
thus, the midpoint of the line segment between (-6, -2) and (7, 6) is
(x, y) = ( )

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(x=\frac{x_1 + x_2}{2}\). Here \(x_1=-6\), \(x_2 = 7\), so \(x=\frac{-6 + 7}{2}=\frac{1}{2}\)

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(y=\frac{y_1 + y_2}{2}\). Here \(y_1=-2\), \(y_2 = 6\), so \(y=\frac{-2+6}{2}=\frac{4}{2}=2\)

Answer:

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