Question

Questionner

1.3.26
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown endpoint. Apply the midpoint
formula, and solve the two equations for x and y.)
midpoint (11.-5), endpoint (19.-14)

Answer 1

Explanation:

Hey there!

Here,

Given, The midpoint of two points is (11,-5). And another coordinate is (19,-14).

We need to find tge missing coordinate.

Let (x,y) be another endpoint of line.

So, Using midpoint formula,

`(x,y) = ((x1 + x2)/(2) ,(y1 + y2)/(2) )`

Put all values.

`(11, - 5) = (19 + x)/(2) ,( - 14 + y)/(2)`

Since they are equal, equating with their corresponding elements we get,

`11 = (19 + x)/(2)`

Simplify it.

`22 = 19 + x`

`x = 22 - 19`

Therefore the value of x is 3.

Again,

`- 5 = ( - 14 + y)/(2)`

`- 10 = - 14 + y`

`y = - 10 + 14`

Therefore the value of y is 4.

So, the coordinates are (3,4).

Hope it helps.....