Graph the system of equations.
\[
\begin{array}{l}
-x+2 y=4 \\
2 x-4 y=1
\end{array}
\]
Answer
This means that the lines are parallel and will never intersect. Therefore, the system of equations has no solution.
Step 1 ：First, we rewrite the equations in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Step 2 ：Rewriting the first equation gives us: \(y = \frac{1}{2}x + 2\).
Step 3 ：Rewriting the second equation gives us: \(y = \frac{1}{2}x - \frac{1}{4}\).
Step 4 ：We can see that both lines have the same slope (\(m = \frac{1}{2}\)), but different y-intercepts (b = 2 for the first line and b = -\frac{1}{4} for the second line).
Step 5 ：This means that the lines are parallel and will never intersect. Therefore, the system of equations has no solution.
