Question

Find the point that splits segment AB in half if point A is located at (4,3) and point B is located at

Answer 1

Answer:

The point that splits the segment AB in half is $C\left ( 1,4.5 \right )$

Step-by-step explanation:

Given: Point A is located at $\left ( 4,3 \right )$ and point $\left ( -2,6 \right )$

To find: Point that splits segment AB in half.

Solution: Let $C\left ( x_{3},y_{3} \right)$ be the point that splits AB in half.

We know that the mid point $\left ( x_{3},y_{3} \right )$ of a line segment joining the points $\left ( x_{1},y_{1} \right )$ and $\left ( x_{2},y_{2} \right )$ is calculated as $\left (\frac{x_{1}+x_{2}}{2},\:\frac{y_{1}+y_{2}}{2} \right )$

Here, $x_{1}=4,\:x_{2}=-2,y_{1}=3,y_{2}=6$

$x_{3}=\frac{4-2}{2}$

$x_{3}=\frac{2}{2}$

$x_{3}=1$

$y_{3}=\frac{3+6}{2}$

$y_{3}=\frac{9}{2}$

$y_{3}=4.5$

Hence, the point that splits the segment AB in half is $C\left ( 1,4.5 \right )$

Answer 2

Answer:

(1, 4.5 )

Step-by-step explanation:

The required point is at the midpoint of AB

Use the midpoint formula

Given A(4, 3) and B(- 2, 6 ), then

midpoint = [ 0.5(4 - 2), 0.5(3 + 6) ] = (1, 4.5 )