Find the distance between the points $LaTeX: \displaystyle \left( 60, \ -69\right)$ and $LaTeX: \displaystyle \left( 75, \ -61\right)$ .

The distace formula gives $LaTeX: \displaystyle d=\sqrt{ ((75)-(60))^2 + ((-61)-(-69))^2 }=\sqrt{ 225 + 64 }$ . Simplifying gives $LaTeX: \displaystyle d = 17$ .