Question

what is the midpoint of ab with endpoints A(3,2) and B (8,14

Answer 1

Answer:

( $\frac{11}{2}$, 8)

Step-by-step explanation:

Find the midpoint using the midpoint formula

midpoint = [ $\frac{1}{2}$(3 + 8), $\frac{1}{2}$(2 + 14)] = ( $\frac{11}{2}$, 8)

Answer 2

Answer: (5.5, 8)

Step-by-step explanation:

We know that midpoint (x,y) of a line XY having points having points $(x_1,y_1)$ and $(x_2,y_2)$ is given by :-

$x=\dfrac{x_1+x_2}{2}\ ;\ y=\dfrac{y_1+y_2}{2}$

Then similarly, the midpoint of AB with endpoints A(3,2) and B (8,14)  will be :_

$x=\dfrac{3+8}{2}\ ;\ y=\dfrac{2+14}{2}\\\\\Rightarrow\ x=\dfrac{11}{2}\ ;\ y=\dfrac{16}{2}\\\\\Rightarrow\ x=5.5\ ;\ y=8$

Hence, the midpoint of AB with endpoints A(3,2) and B (8,14) = (5.5, 8)