Distance formula practice

Both points have $x = 5$, so the length is $|9 - (-3)| = 12$.

$\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.

$d^{2} = 6^2 + 8^2 = 36 + 64 = 100$.

Both points have $x = -1$, so the length is $|2 - (-5)| = 7$.

$\Delta x = 3$, $\Delta y = 4$. $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.

$\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$.

Both points have $y = 3$, so the distance is $|9 - 2| = 7$.

$\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$.