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*}
5x-6y&=42\\
5x -6(0)&=42\\
5x&=42\\
x&=\frac{42}{5}\\
x&=8.4
\end{align*}
Thus, the $x$-intercept is $(8.4, 0)$.
\begin{align*}
5x-6y&=42\\
5(0) -6y&=42\\
-6y&=42\\
y&=\frac{42}{-6}\\
y&=-7
\end{align*}
Thus, the $y$-intercept is $(0, -7)$.
Plot the points then connect them using a straight line.
Refer to the graph above.
