Question

a line segment has endpoints at (1,9) and (3,5). which is the midpoint of the line segment? a (1,2) b (2,7) c (4,14) d (5,4)

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 $x_1 = 1,y_1=9,x_2 = 3,y_2 = 5$.

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

$x=\frac{1 + 3}{2}=\frac{4}{2}=2$.

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

$y=\frac{9 + 5}{2}=\frac{14}{2}=7$.

Answer:

B. (2,7)