SOLUTION: Is the distance between the points (-2,1) and (6,7) 45? Please show your work, thank you so much!

Question 195132: Is the distance between the points (-2,1) and (6,7) 45? Please show your work, thank you so much!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hmm...45 seems like a very long distance. If you plot the points and use the grid, you'll quickly find that 45 is way too big...

Here's how you'd find the distance:

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

Take the square root of to get .

So our answer is

So the distance between the two points (-2,1) and (6,7) is 10 units.

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