(0,1)(-2,5)
slope = (5-1)/(-2-0) = 4/-2 = -2 , b = 1
perpendicular to the line AB, so slope of equation = 1/2 = 0.5
passing point (7,6)
y = mx + b
6 = 0.5(7) + b
6 = 3.5 + b
b = 2.5
equation
y = 0.5x + 2.5
answer is A. y = 0.5x + 2.5 (first choice)
-----------------------------
A(-4,3)
B(0,2)
C(2,4)
D(0,-3)
Length of AB = square root [(x2 – x1)^2 + (y2 - y1)^2]
Length of AB = square root [(0 + 4)^2 + (2 - 3)^2]
Length of AB = square root [16 + 1]
Length of AB = square root (17)
Length of BC= square root [(x2 – x1)^2 + (y2 - y1)^2]
Length of BC = square root [(2 - 0)^2 + (4 - 2)^2]
Length of BC = square root [4 + 4]
Length of BC = square root (8)
Length of CD= square root [(x2 – x1)^2 + (y2 - y1)^2]
Length of CD = square root [(0 - 2)^2 + (-3 -4)^2]
Length of CD = square root [4 + 49]
Length of CD = square root (53)
Length of DA= square root [(x2 – x1)^2 + (y2 - y1)^2]
Length of DA = square root [(-4 - 0)^2 + (3 + 3)^2]
Length of DA = square root [16 + 36]
Length of DA = square root (52)
Perimeter = square root (17) + square root (8) + square root (52) + square root (53) = 21.44
Answer is B. 21.4 (second choice)