The Distance Formula

Let's find the distance between the points P(-5, 7) and Q(-1, 3). First, we identify our coordinate values where $x_1$ is -5 and $y_1$ is 7. For the second point Q, $x_2$ is and $y_2$ is 3. We substitute these directly into the distance formula: $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Setting up the x-coordinates, we write $(-1 - ($ $))^2$. For the y-coordinates, we write $(3 - 7)^2$. Simplifying the terms inside the parentheses gives us $(4)^2 + ($ $)^2$. Finally, squaring and adding these values gives us $\sqrt{16 + 16}$, which equals $\sqrt{32}$.