Question

If mid- point of the line joining the points (1, 4) and (x, y) is (2, 3). Find (x+y).​

Answer 1

Answer:

x+y=3+2=5

Step-by-step explanation:

(2,3)=((1×x)/2,(4+y)/2)

equating the coordinates

3=1+x/2 3=4+y/2

4=1+x 6=4+y

x=3 y=2

x+y=3+2=5

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Answer 2

The answer to this question is 5.

Given:

The midpoint of (1,4) and (x, y) is (2,3).

To Find:

We need to find the value of x+y.

Solution:

We just need to know the formula of the midpoint to solve this question.

The midpoint of (x1, y1) and (x2, y2) is given as

$x = ( \frac{x1 + x2}{2} )$

$y = ( \frac{y1 + y2}{2} )$

where (x, y) is the midpoint.

Now, substitute the given values and we get

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

$4 = 1 + x$

$x = 4 - 1= 3$

and now solve for y

$3 = ( \frac{4 + y}{2} )$

$6 = 4 + y$

$y = 6 - 4 = 2$

We have got the values of (x, y) as (3,2)

$x + y = 3 + 2$

$x + y = 5$

Therefore, the value of x+y is 5.

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