Question

What is the distance between A and B? Round your answer to the nearest tenth. A coordinate plane is shown. Point A is located at negative 1, 5, and point B is located at 4, 1. A line segment connects the two points. 6.4 7.3 8.2 9.1

Answer 1

$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ 1}}\quad ,&{{ 5}})\quad % (c,d) B&({{ 4}}\quad ,&{{ 1}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-5)^2}\implies AB=\sqrt{3^2+(-4)^2} \\\\\\ AB=\sqrt{9+16}\implies AB=\sqrt{25}\implies AB=5$