To find the x- and y-intercepts of the equation $x + 2y = 4$, we need to determine the points where the line crosses the x-axis and y-axis.

X-Intercept

The x-intercept is the point where the line crosses the x-axis. At this point, $y = 0$. So, we set $y = 0$ in the equation and solve for $x$:

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

Thus, the x-intercept is $(4, 0)$.

Y-Intercept

The y-intercept is the point where the line crosses the y-axis. At this point, $x = 0$. So, we set $x = 0$ in the equation and solve for $y$:

$0 + 2y = 4$ $2y = 4$ $y = 2$

Thus, the y-intercept is $(0, 2)$.

Summary

• X-Intercept: $(4, 0)$
• Y-Intercept: $(0, 2)$

Would you like more details or have any questions?

Here are 8 related questions to explore further:

1. How do you find the intercepts of a line given in standard form $Ax + By = C$?
2. What are the intercepts of the line $2x - 3y = 6$?
3. How can you graph a line using its x- and y-intercepts?
4. What are the steps to convert a standard form equation to slope-intercept form $y = mx + b$?
5. How do you find the slope of a line given two points?
6. What is the significance of the intercepts in real-world applications?
7. How can you determine if two lines are parallel or perpendicular using their equations?
8. What is the relationship between the slope and the intercepts of a line?

Tip: When finding intercepts, remember to set the opposite variable to zero and solve for the remaining variable.