Question

Select the correct answer. and form a right angle at point B. If A = (-3, -1) and B = (4, 4), what is the equation of ? A. x + 3y = 16 B. 2x + y = 12 C. -7x − 5y = -48 D. 7x − 5y = 48

Answer 1

-7x − 5y = -48

Explanation:

I got this right on plato.

Answer 2

Option C -
`-7x-5y=-48`

Explanation:

Given : AB and BC form a right angle at point B. If A = (-3, -1) and B = (4, 4).

To find : What is the equation of BC ?

Solution :

AB and BC form a right angle at point B.

A=(-3,-1) and B=(4,4)

The slope of line AB is

The slope of line AB is
`(4+1)/(4+3)=(5)/(7)`

Since the BC is perpendicular to the AB line,

Then the slope of BC is
`m=-(1)/((5)/(7)) = -(7)/(5)`

The equation of line which passes through the point
`(x_1,y_1)` and slope is m is
`y-y_1=m(x-x_1)`

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

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

`5y-20= -7x+28`

`7x+ 5y= 28+20`

`7x+ 5y= 48`

`-7x-5y=-48`

Therefore, option C is correct.