Question

A line segment on the coordinate plane has endpoints (2,4) and 4,y). The midpoint of the
segment is point (3,7). What is the value of y?
11
0-2
5
10

Answer 1

Answer:

10

Step-by-step explanation:

Given:

End points of a line segment are given as:

(2, 4) and (4, y)

Mid point of the line segment is: (3, 7).

To find:

Value of y = ?

Solution:

If end points of a line segment are $(x_1,y_1)$ and $(x_2,y_2)$, then mid point of the line ($x, y$) is given by The Mid Point Formula:

Mid point formula:

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

Here,

$x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y$

$x =3\\y=7$

Putting all the value to find $y$:

$7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}$

So, the value of $y$ is 10.