Question

AB and BC form a right angle at point B. If A = (-3, -1) and B = (4, 4), what is the equation of BC?

(A) x + 3y = 16
(B) 2x + y = 12
(C) -7x − 5y = -48
(D) 7x − 5y = 48

Answer 1

the correct answer is c i got 5/5

Explanation:

Answer 2

We look for the equation of the line AB
We have then:
y-yo = m (x-x0)
m = (y2-y1) / (x2-x1)
m = (4 - (- 1)) / (4 - (- 3))
m = 5/7
We choose an ordered pair:
(xo, yo) = (4, 4)
Substituting:
y-4 = (5/7) (x-4)
y = (5/7) x-20/7 + 4
7y = 5x - 20 + 28
7y = 5x + 8
y = (5/7) x + 8/7
The equation of the perpendicular line is:
-7x - 5y = -48
Answer:
the equation of BC is:
(C) -7x - 5y = -48