b) (-3,5), (4,9)

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Given two points (x1,y1), (x2,y2),
Midpoint formula: (x,y) of midpoint = (, )
Distance formula: distance =
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1a. (midpoint)
(x,y) = (, )
(x,y) = (, )
(x,y) = (, )
(x,y) = (5, 6)
Therefore, the midpoint between (4, 2) and (6, 10) is (5, 6).
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1b. (distance)





Factor:
You can pull out one number for every pair within a square root’s factors. Since there are two 2s, you can pull out a two:
Therefore, the distance between (4, 2) and (6, 10) is
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2a. (midpoint)
(x,y) = (, )
(x,y) = (, )
(x,y) = (, )
(x,y) = (, 7)
Therefore, the midpoint between (-3, 5) and (4, 9) is (, 7).
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2b. (distance)






Factor:
There are no pairs of numbers so you cannot simplify.
Therefore, the distance between (-3, 5) and (4, 9) is .