Question

The midpoint of UV is point W. What are the coordinatesof point V?10U (-8,9)8O (-6, -14)(2,-23)642o (s. )o ([1]-10 8 6 4 22246810X х-4-6W(-3-7)-8-107Save and ExitNextSubmitUnmark this question

Answer 1

As per given by the question,

There are given that point UW is,

`U=(-8,\text{ 9), and W=(-3, -7)}`

Now,

According to the question,

W is the mid point of the point UV.

Then,

Suppose V is the point,

`V=(x_2,y_2)`

Now,

From the formula of midpoint,

`W=((x_1+x_2)/(2),\text{ }(y_1+y_2)/(2))`

Then,

Put the value in above formula,

So,

`\begin{gathered} W=((x_1+x_2)/(2),\text{ }(y_1+y_2)/(2)) \\ (-3,\text{ -7)=}(\frac{-8_{}+x_2}{2},\text{ }\frac{9_{}+y_2}{2}) \end{gathered}`

Now,

Solve the above equation, to get the value of V,

So,

`\begin{gathered} (-3,\text{ -7)=}(\frac{-8_{}+x_2}{2},\text{ }\frac{9_{}+y_2}{2}) \\ \frac{-8_{}+x_2}{2}=-3,\text{ }\frac{9_{}+y_2}{2}=-7 \end{gathered}`

Then,

`\begin{gathered} \frac{-8_{}+x_2}{2}=-3,\text{ }\frac{9_{}+y_2}{2}=-7 \\ -8+x_2=-6,9+y_2=-14_{} \\ x_2=-6+8,y_2=-14-9 \\ x_2=2,y_2=-23 \end{gathered}`

So, the point of V is, (2, -23).

Hence, the option second is correct.