Question

find the midpoint of the line segment with the given endpoints.(-5.1,-2),(1.4,1.7)what is the coordinate of the midpoint? (

Explanation:

Step1: Midpoint formula for x - coordinate

The midpoint formula for the x - coordinate of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(x=\frac{x_1 + x_2}{2}\).
Here \(x_1=-5.1\), \(x_2 = 1.4\), so \(x=\frac{-5.1+1.4}{2}=\frac{-3.7}{2}=-1.85\).

Step2: Midpoint formula for y - coordinate

The midpoint formula for the y - coordinate of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(y=\frac{y_1 + y_2}{2}\).
Here \(y_1=-2\), \(y_2 = 1.7\), so \(y=\frac{-2 + 1.7}{2}=\frac{-0.3}{2}=-0.15\).

Answer:

\((-1.85,-0.15)\)