Question

Given line L = ax + by + c = 0, b 0 What is the slope of this function?

Answer 1

Hello,

ax+by+c=0
==> by=-ax-c if b≠0
==>y=-a/b*x -c/b

Slope is -a/b

Answer 2

Answer: The required slope of the given function is
`-(a)/(b).`

Step-by-step explanation: We are given the following function that represents a straight line :

`L:ax+by+c=0,b\\eq0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We are to find the slope of the given function.

We know that

the slope-intercept form of a linear function is given by

`y=mx+c,` where m is the slope and c is the y-intercept of the function.

From equation (i), we get

`ax+by+c=0\\\\\Rightarrow by=-ax-c\\\\\Rightarrow y=-(a)/(b)x-(c)/(b)~~~~~~~~~~~~~~~~~~~~~~[\textup{since }b\\eq0]`

Comparing the above equation with the slope-intercept form, we get

`m=-(a)/(b).`

Thus, the required slope of the given function is
`-(a)/(b).`