Question

The midpoint of AB is M(1,-2). If the coordinates of A are (-3,-8) , what are the coordinates of B ?

Answer 1

Step-by-step explanation:

The midpoint of two points on the coordinate plane is obtained using the formula

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

Substituting the given points, we have:

`(1,-2)=((-3+x_2)/(2),(-8+y_2)/(2))`

We can then solve for the unknowns.

`\begin{gathered} (-3+x_2)/(2)=1 \\ -3+x_2=2 \\ x_2=2+3 \\ x_2=5 \end{gathered}`

Similarly:

`\begin{gathered} (-8+y_2)/(2)=-2 \\ -8+y_2=-4 \\ y_2=-4+8 \\ y_2=4 \end{gathered}`

The coordinates of B are: (5, 4).