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,
[tex](x,y) = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]
Put all values.
[tex](11, - 5) = \frac{19 + x}{2} ,\frac{ - 14 + y}{2} [/tex]
Since they are equal, equating with their corresponding elements we get,
[tex]11 = \frac{19 + x}{2} [/tex]
Simplify it.
[tex]22 = 19 + x[/tex]
[tex]x = 22 - 19[/tex]
Therefore the value of x is 3.
Again,
[tex] - 5 = \frac{ - 14 + y}{2} [/tex]
[tex] - 10 = - 14 + y[/tex]
[tex]y = - 10 + 14[/tex]
Therefore the value of y is 4.
So, the coordinates are (3,4).
Hope it helps.....
