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-5=48

Question

asked Jun 10, 2022 147k views

1 Answer

John Glen · Answer 1 · 2022-06-15T15:37:17+0000

Answer: D. -7x-5y=-48

Explanation:

The slope of AB is
(-1-4)/(-3-4)=(5)/(7) . Since perpendicular lines have slopes that are negative reciprocals, the slope of BC is -7/5.

Substituting into point-slope form,

$y-4=-(7)/(5)(x-4)\\\\5y-20=-7(x-4)\\\\5y-20=-7x+28\\\\\boxed{-7x-5y=-48}$