Question

The point P has coordinates (5, 7) The point Q has coordinates (-1,-1) Find the length of the line segment PQ.​

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ PQ=√([-1 - 5]^2 + [-1 - 7]^2)\implies PQ=√((-6)^2 + (-8)^2) \\\\\\ PQ=√(36+64)\implies PQ=10`