Question

I need help.................................

Answer 1

Option (C)

Explanation:

AB and BC are perpendicular to each other at point B.

Ordered pairs representing points A and B are (-3, -1) and (4, 4)

Slope of AB,
`(m_1) = (y_2-y_1)/(x_2-x_1)`

`=((4+1))/(4+3)`

`=(5)/(7)`

Let the slope of perpendicular line BC =
`m_2`

By the property of perpendicular lines,

`m_1* m_2=-1`

`(5)/(7)* m_2=-1`

`m_2=-(7)/(5)`

Equation of line BC → y - y' = m₂(x - x')

`y-4=(-(7)/(5))(x-4)`

y =
`-(7)/(5)x+(28)/(5)+4`

5y = -7x + 28 + 20

7x + 5y = 48

-7x - 5y = -48

Option (C) will be the answer.