Question

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

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

Answer 1

C.) -7x - 5y = -48

Explanation:

slope AB = (y2 - y1)/(x2-x1)

= {4-(-1)}/{4-(-3)} = 4+1/4+3 = 5/7

slope of BC = -1 ÷ 5/7 = -1 × 7/5 = -7/5

taking -7x - 5y = -48

-5y = 7x -48

y = 7x/-5 - 48

y = -7/5x -48