Question

Find the missing endpoint if S is the midpoint T(-7, -3); and S(-4,-6); Find R

Answer 1

Given:

We are given two points on a line.

T(-7, -3) is the endpoint on the line.

S(-4,-6) is the midpoint on the line.

To find:

The value of missing endpoint.

Step-by-step solution:

We know that:

`\text{Mid point coordinates \lparen x,y\rparen = \lparen}(x_1+x_2)/(2),(y_1+y_2)/(2))`

We will now put the values in the above formula:

`\begin{gathered} -4=(-7+x)/(2),-6=(-3+y)/(2) \\ \\ -8=-7+x,-12=-3+y \\ \\ -1=x,-9=y \end{gathered}`

Thus R(-1,-9) is the coordinate of the endpoint.