Question

Find the midpoint for C(-3,6), D(1, 10)

Answer 1

(-1, 8)

Explanation:

Given two points:

`\begin{gathered} (x_1,y_1)=C\mleft(-3,6\mright) \\ \mleft(x_2,y_2\mright)=D\mleft(1,10\mright) \end{gathered}`

The midpoint of the line segment is obtained by finding the average of the respective x and y coordinates. This is the midpoint formula given below:

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

Substitute the points:

`M(x,y)=((-3+1)/(2),(6+10)/(2))=((-2)/(2),(16)/(2))=(-1,8)`

The midpoint of CD is (-1,8).