Answer
Refer to th graph below.
Work Step by Step
Recall:
The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$.
Thus, the given line has $(0, -6)$ as $y$-intercept.
Find the $x$-intercept by setting $y=0$ then solving for $x$ to obtain:
\begin{align*}
\require{cancel}
y&=\frac{3}{7}x-6\\
0&=\frac{3}{7}x-6\\
6&=\frac{3}{7}x\\
\frac{7}{3} \cdot 6 &= \frac{3}{7}x \cdot \frac{7}{3}\\
\frac{7}{\cancel{3}} \cdot \cancel{6}^2 &= \cancel{\frac{3}{7}}x \cdot \cancel{\frac{7}{3}}\\
14&=x
\end{align*}
Thus, the $x$-intercept is at $(14, 0)$.
Plot the $x$ and $y$-intercepts then connect them using a straight line. Refer to the graph above.
