## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\left( 0,\dfrac{4}{3} \right)$
Substituting $x=0,$ then \begin{array}{l}\require{cancel} 3y+x=4 \\\\ 3y+0=4 \\\\ 3y=4 \\\\ y=\dfrac{4}{3} .\end{array} Hence, the coordinates of the $y$-intercept are $\left( 0,\dfrac{4}{3} \right) .$ Using the $y$-intercept, the graph of the given equation is shown above.