Find the distance between the points \( (-6,7) \) and \( (-6,2) \). Distance: \( \square \)
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The Deep Dive
To find the distance between the points \((-6,7)\) and \((-6,2)\), we can simply subtract the y-coordinates since the x-coordinates are the same. The distance is \(|7 - 2| = |5| = 5\). So, the distance is \( \boxed{5} \). Now, let’s add a sprinkle of fun to our math journey! Imagine these points as two friends hanging out on a vertical line, where they only care about the fun they have in the up-and-down direction. When they discover they’re 5 units apart, they realize they can just hop down or up to meet each other, making it a quick reunion! Math isn't just numbers; it's a way to perceive relationships and distances in our quirky little world. Isn’t it cool how geometry helps us understand even the simplest meetups of friends?