Answer
See graph
Work Step by Step
Given \begin{equation}
3 x-7 y=28.
\end{equation} This is a linear function. Write the function as $y$ a function of $x$. \begin{equation}
\begin{aligned}
3 x-7 y&=28 \\
y&=\frac{28-3x}{-7}\\
y &= \frac{3}{7}x-4.
\end{aligned}
\end{equation} We determine the $x$ and $y$ intercepts: $$
\begin{aligned}
y&=0\implies \dfrac{3}{7}x-4=0\implies x=\frac{28}{3}\\
x&=0\implies y=\frac{3}{7}(0)-4=-4.
\end{aligned}$$ The intercepts are: $$\left(\frac{28}{3},0\right), (0,-4).$$ We plot the intercepts and join them by a straight line.
