Answer
Refer to the graph below.
Work Step by Step
Recall:
(1) The $x$-intercept of a line is the point where the line crosses the $x$-axis and can be found by setting $y=0$ then solving for $x$.
(1) The $y$-intercept of a line is the point where the line crosses the $y$-axis and can be found by setting $x=0$ then solving for $y$.
Solve for the $x$ and $y$ intercepts to obtain:
\begin{align*}
2x+3y&=24\\
2x + 3(0)&=24\\
2x&=24\\
x&=\frac{24}{2}\\
x&=12
\end{align*}
Thus, the $x$-intercept is $(12, 0)$.
\begin{align*}
2x+3y&=24\\
2(0) + 3y&=24\\
3y&=24\\
y&=\frac{24}{3}\\
y&=8
\end{align*}
Thus, the $y$-intercept is $(0, 8)$.
Plot the points then connect them using a straight line.
Refer to the graph above.
