Question

Slope of a line ax+by+c=0 if ?

Answer 1

Hi friend!!

Given, line equation ax+by+c=0

→by=-ax-c

=y=(-a/b)x-(c/b)

Comparing the equation with y=mx+c

slope of the given line is -a/b

I hope this will help you ;)

Answer 2

Given equation is ax + by + c = 0

We know the other form of the equation :- y = mx+C

Where

m = slope

C = y-intercept

Divide the given equation by b, we get

(a/b)x + y + (c/b)=0

Y = -((a/b)x+(c/b))

Relating this to the slope form equation, we get

m = -(a/b)

C = -(c/b)

★ So, the slope then slope of the line equation ax+by+c = 0 is -a/b