To find the x-intercept and y-intercept of the equation $x - 2y = 4$, follow these steps:

1. Find the x-intercept:

The x-intercept occurs where the graph crosses the x-axis, which means the value of $y$ is 0.

Substitute $y = 0$ into the equation:

$x - 2(0) = 4$ $x = 4$

So, the x-intercept is at the point $(4, 0)$.

2. Find the y-intercept:

The y-intercept occurs where the graph crosses the y-axis, which means the value of $x$ is 0.

Substitute $x = 0$ into the equation:

$0 - 2y = 4$ $-2y = 4$ $y = -2$

So, the y-intercept is at the point $(0, -2)$.

Final Answer:

• x-intercept: $(4, 0)$
• y-intercept: $(0, -2)$

Would you like more details on how to find intercepts or any other related concepts? Here are some questions to explore further:

1. How do you find the slope of a line from its equation in standard form?
2. How do you graph the equation $x - 2y = 4$?
3. What is the general form of a linear equation, and how are intercepts found from it?
4. How do intercepts help in graphing linear equations?
5. What is the significance of the slope-intercept form $y = mx + b$ and how is it related to intercepts?

Tip: For any linear equation, to find the intercepts, always set one variable to 0 and solve for the other. This is the easiest way to get the intercept points!