Question

The midpoint of AB is M(0, -7). If the coordinates of A are (-2,-6), what arethe coordinates of B?Answer:Submit AnswerPASSA

Answer 1

Step-by-step explanation:

The coordinates are given below are

`\begin{gathered} A(-2,-6) \\ M(0,-7) \\ B=(x,y) \end{gathered}`

The image is given below as

To calculate the coordinate of A,we will use the formula below

`M=((x_1+x_2)/(2),(y_1+y_1)/(2))`

By substituting the values, we will have

`\begin{gathered} M=(x_1+x_2)/(2),(y_(1)+y_(1))/(2) \\ (0,-7)=(-2+x))/(2),((-6+y)/(2)) \\ (-2+x)/(2)=0,(6+y)/(2)=-7 \\ -2+x=0,6+y=-14 \\ x=2,y=-14+6 \\ x=2,y=-8 \end{gathered}`

Hence,

The coordinate of B will be

`B=(2,-8)`