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:

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

We will now put the values in the above formula:

$\begin{gathered} -4=\frac{-7+x}{2},-6=\frac{-3+y}{2} \\ \\ -8=-7+x,-12=-3+y \\ \\ -1=x,-9=y \end{gathered}$

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