Question

find the midpoint of the line segment with the given endpoints. (3.1, -2.1), (-0.52, -0.6) what is the coordinate of the midpoint? (

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x\) of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_x=\frac{x_1 + x_2}{2}\).
Here \(x_1 = 3.1\), \(x_2=-0.52\), so \(M_x=\frac{3.1+( - 0.52)}{2}=\frac{3.1 - 0.52}{2}=\frac{2.58}{2}=1.29\).

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y\) of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_y=\frac{y_1 + y_2}{2}\).
Here \(y_1=-2.1\), \(y_2=-0.6\), so \(M_y=\frac{-2.1+( - 0.6)}{2}=\frac{-2.1-0.6}{2}=\frac{-2.7}{2}=-1.35\).

Answer:

\((1.29,-1.35)\)