What is the equation in standard form of the line with slope m=-1/3 and intercept b=-6?  

Expert Answers
mathsworkmusic eNotes educator| Certified Educator

The slope-intercept form of a linear equation is

`y = mx + b`

The standard form is

`Ax + By + C = 0`

where ` ``A >= 0`. Also, to simplify the equation, we require `A,B,C` to be integer.

We are given that `m = -1/3`  and `b = -6`

so in slope-intercept form the equation is

`y = -1/3x - 6`.

Rearranging this equation by bringing all terms over to the lefthand side, we get

` ``1/3x + y +6 = 0`` `.

To simplify, we multiply both sides by 3 (to get rid of the fraction) to get

`x + 3y + 18 = 0`  

In standard form then, the equation of the line is

`Ax + By + C = 0`

where `A = 1, B=3,C=18`




pramodpandey | Student

b=-6 ,y intercept  (if)  , m=-1/3

let x intercept is a




`which`  si similar to






Thus equation reduces to