Question

Write the slope of the line ax + by + c = 0.

Answer 1

Answer:

ax+by+c=0

=>by=-ax-c

=>y=-ax-c/b

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

the above equation is of the form y=mx+c

slope of the {ax+by+c=0}=-a/b

Answer 2

Given,

The equation of the given line is :

ax+by+c = 0

To find,

The slope of the line.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, we have to rearrange the given equation in slope-intercept form. Which is :

y = mx +c (here, m = slope)

Now, rearranging the given equation,

ax+by+c = 0

by = -ax-c

$y = - \frac{a}{b} x - \frac{c}{b}$

Now, by comparing the obtained equation with (y = mx+c), we get :

$m = - \frac{a}{b}$

$Slope \: \: of \: \: the \: \: line = - \frac{a}{b}$

(This will be considered as the final result.)

Hence, the slope of the line is $(- \frac{a}{b})$