Question

score: 0 of 1 point
find the midpoint of the line segment from (3,1) to (-1,-5).
a (1,-2)
b (1,2)
c (2,3)
d (2,-4)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 3,y_1=1,x_2=-1,y_2 = - 5$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{3+( - 1)}{2}=\frac{3 - 1}{2}=\frac{2}{2}=1$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{1+( - 5)}{2}=\frac{1 - 5}{2}=\frac{-4}{2}=-2$.

Answer:

A. $(1,-2)$