Question

Find the length of a segment with an endpoint of (-3, 1) and a midpoint of (8, 2)

Answer 1

so from one end to the midpoint is "some amount"
from the other end to the mid point, is "some amount" as well... .
since it's the midpoint in the middle, the distance from either end to it, will be the same

thus, find the distance between either end and add it twice \(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ 1}})\quad &({\color{red}{ 8}}\quad ,&{\color{blue}{ 2}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)