Answer
The point $A(6,7)$ is closer to the origin.
Work Step by Step
$d(O, A)=\sqrt{(6-0)^{2}+(7-0)^{2}}=\sqrt{6^{2}+7^{2}}$
$=\sqrt{36+49}=\sqrt{85}$.
$d(O, B)=\sqrt{(-5-0)^{2}+(8-0)^{2}}=\sqrt{(-5)^{2}+8^{2}}$
$=\sqrt{25+64}=\sqrt{89}$.
The point $A(6,7)$ is closer to the origin.
