Question

If A(2, 3) and B(7, 15), find AB. (Remember: AB means "the distance between points A and B.")

Answer 1

\(\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
A&({\color{red}{ 2}}\quad ,&{\color{blue}{ 3}})\quad B&({\color{red}{ 7}}\quad ,&{\color{blue}{ 15}})
\end{array}\qquad
\left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)

Answer 2

hmm scratch that lemme get the "other" formula =)

Answer 3

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
A&({\color{red}{ 2}}\quad ,&{\color{blue}{ 3}})\quad B&({\color{red}{ 7}}\quad ,&{\color{blue}{ 15}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)