https://file.aiquickdraw.com/mathbot/file/1726065175783ykzy6dzg.jpg

The equation you provided is:

\[
\frac{1}{2}x + y = 1
\]

To find the intercepts using the intercept formula, we will compute both the **x-intercept** and **y-intercept** by setting one variable to zero and solving for the other.

### 1. **Finding the x-intercept**:
The x-intercept occurs when \( y = 0 \). So, substitute \( y = 0 \) into the equation:

\[
\frac{1}{2}x + 0 = 1
\]
\[
\frac{1}{2}x = 1
\]
Multiply both sides by 2 to solve for \( x \):

\[
x = 2
\]

Thus, the **x-intercept** is at \( (2, 0) \).

### 2. **Finding the y-intercept**:
The y-intercept occurs when \( x = 0 \). So, substitute \( x = 0 \) into the equation:

\[
\frac{1}{2}(0) + y = 1
\]
\[
y = 1
\]

Thus, the **y-intercept** is at \( (0, 1) \).

### Conclusion:
- The x-intercept is \( (2, 0) \).
- The y-intercept is \( (0, 1) \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do we graph the line using intercepts?
2. Can we convert this equation to slope-intercept form?
3. What does the slope of this line represent?
4. How can we check if another point lies on this line?
5. How do the intercepts change if we modify the equation?

**Tip**: The intercept form of a line is useful for quickly identifying points where the graph crosses the axes.

Use the intercept formula to find the intercepts for the equation \( \frac{1}{2}x + y = 1 \).

Learn how to find the x-intercept and y-intercept for the linear equation \( \frac{1}{2}x + y = 1 \). This solution walks through using the intercept formula to calculate intercepts step-by-step, suitable for Grades 9-10.

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