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To graph the line \(10x + y = 10\) using intercepts, we will find the x-intercept and y-intercept.

1. **X-intercept**: Set \( y = 0 \) and solve for \( x \).
   \[
   10x + 0 = 10 \quad \Rightarrow \quad x = 1
   \]
   So, the x-intercept is \( (1, 0) \).

2. **Y-intercept**: Set \( x = 0 \) and solve for \( y \).
   \[
   10(0) + y = 10 \quad \Rightarrow \quad y = 10
   \]
   So, the y-intercept is \( (0, 10) \).

Now you can plot these two points:
- \( (1, 0) \) on the x-axis
- \( (0, 10) \) on the y-axis

Connect these two points to graph the line.

Would you like more details on any of these steps?

Here are 5 related questions:
1. How can we find intercepts for other linear equations?
2. How do you convert a standard form equation to slope-intercept form?
3. What is the slope of the line based on the intercepts?
4. How would you graph if you had the slope and one point instead of intercepts?
5. Can you graph this line using another method?

**Tip:** If you plot two points accurately, you only need to draw a straight line through them to graph any linear equation.

Graph this line using intercepts: 10x + y = 10.

Learn how to graph the linear equation 10x + y = 10 using intercepts. Find the x- and y-intercepts and use them to accurately plot the line on a graph. This problem is suitable for students in Grades 8-10 and helps reinforce skills in graphing linear equations and interpreting intercepts.

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