Question

Which point is 7 units from (10, 6) on a coordinate plane?

A.
(–3, 6)

B.
(3, 6)

C.
(10, 1)

D.
(–3, –6)

Answer 1

well... use the distance formula... to check which one ends up to 7units from 10,6

so \(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ 10}}\quad ,&{\color{blue}{ 6}})\\
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ 10}}\quad ,&{\color{blue}{ 6}})\\
&({\color{red}{ 10}}\quad ,&{\color{blue}{ 1}})\quad &({\color{red}{ 10}}\quad ,&{\color{blue}{ 6}})\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ -6}})\quad &({\color{red}{ 10}}\quad ,&{\color{blue}{ 6}})\\
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)