Question

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

Answer 1

-7x − 5y = -48

Explanation:

This was correct on plato :D

Answer 2

`y=(-7)/(5)x+(48)/(5)` is equation of BC

Explanation:

Given that AB and BC form a right angled triangle at point B.

i.e. BC is perpendicular to AB

Line AB contains two points (-3,-1) and (4,4)

Slope of AB =
`(y2-y1)/(x2-x1) =(4+1)/(4+3) =(5)/(7)`

Slope of BC would be -1/slope of AB since AB and BC are perpendicular

Slope of BC =\frac{-7}{5}

Also we got a point on BC as B.

Use point slope formula

`y-y1=m(x-x1)\\y-4=(-7)/(5)(x-4)\\y=(-7)/(5)x+(48)/(5)`
`y-y1=m(x-x1)\\y-4=(-7)/(5)(x-4)\\y=(-7)/(5)x+(48)/(5)`