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

Question

asked Dec 27, 2020 223k views

2 Answers

Nirav Kamani · Answer 1 · 2021-01-01T09:50:12+0000

Answer:

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

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