Answer
Refer to the graph below.
Work Step by Step
Recall:
(1) The $x$-intercept of a linear equation can be found by setting $y=0$ then solving for $x$.
(2) The $y$-intercept of a linear equation can be found by setting $x=0$ then solving for $y$.
Find the $x$-intercept by setting $y=0$ to obtain:
\begin{align*}
2x-100y&=400\\
2x-100(0)&=400\\
2x&=400\\
x&=\frac{400}{2}\\
x&=200
\end{align*}
Thus, the $x$-intercept is $(200, 0)$.
Find the $y$-intercept by setting $x=0$ to obtain:
\begin{align*}
2x-100y&=400\\
2(0)-100y&=400\\
-100y&=400\\
y&=\frac{400}{-100}\\
y&=-4
\end{align*}
Thus, the $y$-intercept is $(0, -4)$.
Plot the intercepts and connect them using a straight line. Refer to the graph above.
