Answer:
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
