Find the distance between the points $LaTeX: \displaystyle \left( -67, \ 63\right)$ and $LaTeX: \displaystyle \left( 98, \ 115\right)$ .

The distace formula gives $LaTeX: \displaystyle d=\sqrt{ ((98)-(-67))^2 + ((115)-(63))^2 }=\sqrt{ 27225 + 2704 }$ . Simplifying gives $LaTeX: \displaystyle d = 173$ .