3 years ago

Points A and B have coordinates (8, 3) and (p, q) respectively. The equation of the perpendicular

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

Answer:

p = -4, q = -3

Step-by-step explanation:

y = -2x +4 ... (1) perpendicular bisector of AB, slope = -2

slope of AB = 1/2

Line AB pass (8,3): (y-3) / (x-8) = 1/2

AB equation: y-3 = 1/2(x-8) y = 1/2x - 1 ... (2)

(2)-(1): 5/2 x = 5 x = 2

y = 0 (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)

(8+p)/2 = 2

p = -4

(3+q)/2 = 0

q = -3

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