Really? I can do that, but I want to help in other ways too. Can you teach me how to find distance and midpoint?
Y’know what? We should get him something.
Yeah totally! But we don’t have much time.
It’s okay! Cuz I know how to find distance and midpoint! If you can get me a map of the mall, I can find out the quickest way to get a gift.
That’s a great idea! Wanna go to the mall?
Sure, we can try that.
That doesn’t sound so bad. Is that it?
Hmm.. That seems kind of complicated…
Not yet! We still have to find the square root of the sum that we just got, because the original numbers were squared. We don’t want the distance squared.
Alright… How ‘bout I just give you the formula? Maybe you would understand better that way.
*silence*
Hmm… Can you give me the formula for that as well?
Oh yeah! Basically for midpoint, you add up both of the x-values from the two stores, add up both of the y-values from the two stores, and divide them both by 2.
TRAVIS: Of course! To find the distance between two points, or in our case, stores… you just have to square the point of the first store, square the point of the second store, add them together, and you’ll get a third number.
Wow thank you for helping me understand distance! But what about midpoint?
So that’s why we find the square root of the “distance” value!
Yes! You got it!
Exactly! But do you notice how the “distance” value from the formula is squared? We don’t need the distance to be squared, we need it to be singular.
TRAVIS: The formula for distance is (x2-x1)² + (y2-y1)² = distance²JANELLE: Okay… So I’m assuming that “x2” is the x coordinate of the second store, “x1” is the x coordinate of the first store, “y2” is the y coordinate of the second store, and “y1” is the y coordinate of the first store.
That makes sense! We should probably get going though. Now that I know how to find distance and midpoint, I can get a map of the mall and do the math on the way there!
Alright let’s go!
TRAVIS: The formula for midpoint is (x1+x2)/2 and (y1+y2)/2. Once they’re both divided by 2, you’ll have both the x-value and y-value for the midpoint!
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