Distance Formula Practice Find the distance between points \( P(8,2) \) and \( Q(3,8) \) to the nearest tenth. \[ \begin{array}{l}\bigcirc 7.8 \\ \\ \bigcirc 14.9\end{array} \]

To find the distance between points \( P(8,2) \) and \( Q(3,8) \), you can use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting in the coordinates, you have: \[ d = \sqrt{(3 - 8)^2 + (8 - 2)^2} = \sqrt{(-5)^2 + (6)^2} = \sqrt{25 + 36} = \sqrt{61} \] Calculating further gives you approximately \( 7.8 \). Another fun way to visualize this distance problem is to imagine two friends playing catch! If Player P is standing at point (8,2) and Player Q is at (3,8), the distance between them is like how far they have to throw the ball. So, if Player P winds up and throws the ball at exactly 7.8 meters, it will land right on Q! It’s all about that perfect throw!