Question

4. The midpoint of RO is (-1, -3) and point isWhat is the missing endpoint's coordinate?RoEE21 and is at

Answer 1

The coordinates of the missing endpoint can be written as;

`(-2,0)`

Step-by-step explanation:

Given that the midpoint of the line RO is;

`(-1,-3)`

And the point O is at;

`(0,-6)`

Let point R, which is the missing endpoint be represented by;

`(x,y)`

Recall that the midpoint of two lines can be written as;

`x=(x_1+x_2)/(2)`

Applying the given formula to the x and y axis;

`\begin{gathered} -1=(0+x)/(2) \\ -2=x \\ x=-2 \end{gathered}`
`\begin{gathered} -3=(-6+y)/(2) \\ -6=-6+y \\ y=-6+6 \\ y=0 \end{gathered}`

Therefore, the missing endpoint can be written as;

`(-2,0)`