↔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

your answer is C

Step-by-step explanation:

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

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a