Question

What is the slope for x+3y=3

Answer 1

Given data:

The given equation of the line is x+3y=3​.

The given equation can be written as,

`\begin{gathered} x+3y=3 \\ 3y=3-x \\ y=(1)/(3)(-x+3) \\ =-(1)/(3)x+1 \end{gathered}`

The standard equation of the line is,

`y=mx+c`

Here, m is the slope.

Compare the given equation with the standard equation of the line.

m=-1/3

Thus, the slope of the line is -1/3.