Question

8.
Find the x- and y-intercept of the line.

x + 4y = 36

Answer 1

To find the x- and y-intercepts of the line given by the equation \( x + 4y = 36 \), we can follow these steps:

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

\[
x + 4(0) = 36
\]
\[
x = 36
\]

Therefore, the x-intercept is \( (36, 0) \).

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

\[
0 + 4y = 36
\]
\[
4y = 36
\]
\[
y = \frac{36}{4} = 9
\]

Therefore, the y-intercept is \( (0, 9) \).

### Summary:
- The x-intercept is \( (36, 0) \).
- The y-intercept is \( (0, 9) \).