To graph the line $x - 2y = 4$ using intercepts, let's find the x-intercept and y-intercept.

Steps to Solve:

1. Find the x-intercept: Set $y = 0$ in the equation and solve for $x$. $x - 2(0) = 4 \Rightarrow x = 4$ So, the x-intercept is $(4, 0)$.

2. Find the y-intercept: Set $x = 0$ in the equation and solve for $y$. $0 - 2y = 4 \Rightarrow y = -2$ So, the y-intercept is $(0, -2)$.

Plotting the Line:

• Mark the points $(4, 0)$ on the x-axis and $(0, -2)$ on the y-axis.
• Draw a straight line passing through these two points.

This line represents the equation $x - 2y = 4$.

Would you like additional steps or a detailed explanation of the intercept method?

Here are some related questions you might find helpful:

1. How do you find intercepts for equations in standard form?
2. What is the slope of the line $x - 2y = 4$?
3. How can you convert $x - 2y = 4$ into slope-intercept form?
4. How would you graph a line using a different method, like plotting points?
5. What does it mean for two lines to be parallel in terms of their equations?

Tip: Always check if your line passes through both intercept points to ensure accuracy.