Question

what is the midpoint of the line segment with endpoints ( 3.5,2.2) and (1.5,-4.8)?
A.(2.5,-1.3)
B.(5,-2.6)
C.(2.5,-2.6)
D.(5,-1.3)

Answer 1

Answer:

Option A) (2.5,-1.3) is correct

The midpoint of the given line segment is M=(2.5,-1.3)

Step-by-step explanation:

Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)

To find the mid point of these endpoints midpoint formula is $M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$

Let ($x_1,y_1$) be the point (3.5, 2.2) and ($x_2, y_2$) be the point (1.5, -4.8)

substituting the points in the formula

$M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$

$M=\left(\frac{3.5+1.5}{2}, \frac{2.2-4.8}{2}\right)$

$=\left(\frac{5}{2}, \frac{-2.6}{2}\right)$

$=\left(2.5,-1.3\right)$

Therefore M=(2.5,-1.3)

The midpoint of the given line segment is M=(2.5,-1.3)