Question

17 fill in the blank 2 points find the midpoint of the line segment with the given endpoints. (-3.1,-2.8), (-4.92,-3.3) what is the coordinate of the midpoint? -4.01 type your answer...

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\), where \(x_1=-3.1\) and \(x_2=-4.92\).
\(M_x=\frac{-3.1+( - 4.92)}{2}=\frac{-3.1 - 4.92}{2}=\frac{-8.02}{2}=-4.01\)

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1=-2.8\) and \(y_2=-3.3\).
\(M_y=\frac{-2.8+( - 3.3)}{2}=\frac{-2.8-3.3}{2}=\frac{-6.1}{2}=-3.05\)

Answer:

\((-4.01,-3.05)\)