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Answer 1

Step-by-step 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,

$(x,y) = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )$

Put all values.

$(11, - 5) = \frac{19 + x}{2} ,\frac{ - 14 + y}{2}$

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

$11 = \frac{19 + x}{2}$

Simplify it.

$22 = 19 + x$

$x = 22 - 19$

Therefore the value of x is 3.

Again,

$- 5 = \frac{ - 14 + y}{2}$

$- 10 = - 14 + y$

$y = - 10 + 14$

Therefore the value of y is 4.

So, the coordinates are (3,4).

Hope it helps.....