The midpoint of AB is M(4.-2). One endpoint is A(-2,6). What is the length of AB ? 5 units
10 units
20 units
28 units
None of these

AB = 20 units

Step-by-step explanation:

Given the coordinate midpoint M(4.-2) and A(-2,6), we are to find the length AB. To get that, we need to get the coordinate of B first as shown

M(X, Y) = [(x1+x2/2, y1+y2/2]

X = x1+x2/2

4 = -2+x2/2

8 = -2+x2

x2 = 8+2

x2 = 10

Y = y1+y2/2

-2 = 6+y2/2

-4 = 6+y2

y2 = -4-6

y2 = -10

Hence the coordinate of B is (10, -10)

Recall that A =(-2, 6)

Get AB;

AB = √(x2-x1)²+(y2-y1)²

AB = √(-2-10)²+(6+10)²

AB = √(-12)²+(16)²

AB = √144+256

AB = √400

AB = 20 units

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step-by-step explanation:

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