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:

$\begin{gathered} x+3y=3 \\ 3y=-x+3 \\ \\ y=\frac{-1}{3}x+\frac{3}{3} \\ \\ y=-\frac{1}{3}x+1 \end{gathered}$

Now you can identify that the slope is:

$m=-\frac{1}{3}$

And the y-intercept is:

$b=1$

Therefore, the answer is:

$\begin{gathered} m=-\frac{1}{3} \\ \\ b=1 \end{gathered}$