Question

find the coordinates of the midpoint of the line segment joining the points (6,2) & (4,4).​

Answer 1

The coordinates of the midpoint would be (5,3)

Given

• points (6,2) & (4,4).

To find

• coordinates of the midpoint

Solution

we are provided with the coordinates of two points and are asked to find the midpoint of the line connecting between the two given points.

it could be easily estimated by substituting the values in the standard equation to find the midpoint of the line

x = (x1+ x2)/2

or, x = (6 +4)/2

or, x = 10/2

or, x = 5

similarly y co-ordinate would be,

y = (y1+ y2)/2

or, y = (2+4)/2

or, y = 6/2

or, y = 3

Therefore, the coordinates of the midpoint would be (5,3)

Answer 2

Answer:

The coordinates of the midpoint would be (5,3)

Step-by-step explanation:

Given points (6,2) & (4,4).

Formula

$(x, y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Let the coordinates of the midpoint of (6,2) and (4,4) be (x,y).

$x = \frac{x_1+x_2}{2}$

or, x = (6 +4)/2

or, x = 10/2

or, x = 5

similarly y co-ordinate would be,

$y= \frac{y_1+y_2}{2}$

or, y = (2+4)/2

or, y = 6/2

or, y = 3

Therefore, the coordinates of the midpoint  are (5,3).