Question

Find the slope and y-intercept for x + 3y=3

Answer 1

By definition, the Slope-Intercept Form of the equation of a line is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

Then, to find the slope and the y-intercept of the line given in the exercise, you only need to solve for "y", in order to write the equation in Slope-Intercept Form:

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

Now you can identify that the slope is:

`m=-(1)/(3)`

And the y-intercept is:

`b=1`

Therefore, the answer is:

`\begin{gathered} m=-(1)/(3) \\ \\ b=1 \end{gathered}`