Graph each equation.

$3x+4y=8$

To find the $x$-intercept, substitute 0 for$y$ and find the value of $x$.

role="math" localid="1647378791264" $$\begin{gathered} 3x+4y=8 \\ 3x+4\left(0\right)=8 \\ 3x=8 \\ x=\frac{8}{3} \end{gathered}$$

Therefore, the $x$-intercept is $\frac{8}{3}$.

As, the $x$-intercept is$\frac{8}{3}$ that means the graph of$3x+4y=8$ will intersect the $x$-axis at $\left(\frac{8}{3},0\right)$.

To find the $y$-intercept, substitute 0 for$x$ and find the value of $y$.

role="math" localid="1647379080801" $$\begin{gathered} 3x+4y=8 \\ 3\left(0\right)+4y=8 \\ 0+4y=8 \\ 4y=8 \\ y=\frac{8}{4} \\ y=2 \end{gathered}$$

Therefore, the $y$-intercept is 2.

As, the $y$-intercept is 2 that means the graph of$3x+4y=8$will intersect the role="math" localid="1647379169090" $y$-axis at $\left(0,2\right)$.

Draw the graph of the equation$3x+4y=8$ by using the information that the graph of the equation$3x+4y=8$ is a line passing through the points$\left(\frac{8}{3},0\right)$ and $\left(0,2\right)$.

Therefore, the graph of the equation$3x+4y=8$ is: