Question

The midpoint of AB is M(-1,7). If the coordinates of A are (4,8), what are the coordinates of B?

Answer 1

Given

midpoint of AB is M(-1,7)

coordinates of A (4,8)

Find

coordinates of B

Step-by-step explanation

as we know that corodinate of midpoint is given by

`x=(x_1+x_2)/(2),y=(y_1+y_2)/(2)`

so ,

so

`\begin{gathered} -1=(4+x_2)/(2) \\ x_2=-6 \end{gathered}`

and

`\begin{gathered} 7=(8+y_2)/(2) \\ y_2=6 \end{gathered}`

Final Answer

Therefore , the coordinates of B are (-6 , 6)